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Finding the Fourth Proportional to 25,985.84, 38,990.28 and 9,566

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Solution

The fourth proportional to 25,985.84, 38,990.28 and 9,566 is: 14,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,985.84 : 38,990.28 = 9,566 : x
  2. Step 2: Convert to fraction form
    25,985.84/38,990.28 = 9,566/x
  3. Step 3: Cross multiply
    25,985.84x = 38,990.28 × 9,566
  4. Step 4: Simplify right side
    25,985.84x = 372,981,018.48
  5. Step 5: Solve for x
    x = 372,981,018.48/25,985.84
  6. Step 6: Final answer
    x = 14,353.24

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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.