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Finding the Fourth Proportional to 25,689.80, 38,534.70 and 13,192.40

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Solution

The fourth proportional to 25,689.80, 38,534.70 and 13,192.40 is: 19,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.80 : 38,534.70 = 13,192.40 : x
  2. Step 2: Convert to fraction form
    25,689.80/38,534.70 = 13,192.40/x
  3. Step 3: Cross multiply
    25,689.80x = 38,534.70 × 13,192.40
  4. Step 4: Simplify right side
    25,689.80x = 508,365,176.28
  5. Step 5: Solve for x
    x = 508,365,176.28/25,689.80
  6. Step 6: Final answer
    x = 19,788.60

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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.