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Finding the Fourth Proportional to 22,782.30, 34,157.01 and 15,368.22

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Solution

The fourth proportional to 22,782.30, 34,157.01 and 15,368.22 is: 23,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.30 : 34,157.01 = 15,368.22 : x
  2. Step 2: Convert to fraction form
    22,782.30/34,157.01 = 15,368.22/x
  3. Step 3: Cross multiply
    22,782.30x = 34,157.01 × 15,368.22
  4. Step 4: Simplify right side
    22,782.30x = 524,932,444.22
  5. Step 5: Solve for x
    x = 524,932,444.22/22,782.30
  6. Step 6: Final answer
    x = 23,041.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.