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Finding the Fourth Proportional to 25,800.31, 38,709.69 and 15,689.26

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Solution

The fourth proportional to 25,800.31, 38,709.69 and 15,689.26 is: 23,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.31 : 38,709.69 = 15,689.26 : x
  2. Step 2: Convert to fraction form
    25,800.31/38,709.69 = 15,689.26/x
  3. Step 3: Cross multiply
    25,800.31x = 38,709.69 × 15,689.26
  4. Step 4: Simplify right side
    25,800.31x = 607,326,312.48
  5. Step 5: Solve for x
    x = 607,326,312.48/25,800.31
  6. Step 6: Final answer
    x = 23,539.50

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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.