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Finding the Fourth Proportional to 25,686.40, 38,500.80 and 13,201.60

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Solution

The fourth proportional to 25,686.40, 38,500.80 and 13,201.60 is: 19,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.40 : 38,500.80 = 13,201.60 : x
  2. Step 2: Convert to fraction form
    25,686.40/38,500.80 = 13,201.60/x
  3. Step 3: Cross multiply
    25,686.40x = 38,500.80 × 13,201.60
  4. Step 4: Simplify right side
    25,686.40x = 508,272,161.28
  5. Step 5: Solve for x
    x = 508,272,161.28/25,686.40
  6. Step 6: Final answer
    x = 19,787.60

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