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Finding the Fourth Proportional to 15,807.16, 23,722.44 and 7,487.20

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Solution

The fourth proportional to 15,807.16, 23,722.44 and 7,487.20 is: 11,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.16 : 23,722.44 = 7,487.20 : x
  2. Step 2: Convert to fraction form
    15,807.16/23,722.44 = 7,487.20/x
  3. Step 3: Cross multiply
    15,807.16x = 23,722.44 × 7,487.20
  4. Step 4: Simplify right side
    15,807.16x = 177,614,652.77
  5. Step 5: Solve for x
    x = 177,614,652.77/15,807.16
  6. Step 6: Final answer
    x = 11,236.34

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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.