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Finding the Fourth Proportional to 21,782.72, 30,065.06 and 13,287.72

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Solution

The fourth proportional to 21,782.72, 30,065.06 and 13,287.72 is: 18,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.72 : 30,065.06 = 13,287.72 : x
  2. Step 2: Convert to fraction form
    21,782.72/30,065.06 = 13,287.72/x
  3. Step 3: Cross multiply
    21,782.72x = 30,065.06 × 13,287.72
  4. Step 4: Simplify right side
    21,782.72x = 399,496,099.06
  5. Step 5: Solve for x
    x = 399,496,099.06/21,782.72
  6. Step 6: Final answer
    x = 18,340.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.