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Finding the Fourth Proportional to 25,586.08, 38,364 and 9,985.52

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Solution

The fourth proportional to 25,586.08, 38,364 and 9,985.52 is: 14,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.08 : 38,364 = 9,985.52 : x
  2. Step 2: Convert to fraction form
    25,586.08/38,364 = 9,985.52/x
  3. Step 3: Cross multiply
    25,586.08x = 38,364 × 9,985.52
  4. Step 4: Simplify right side
    25,586.08x = 383,084,489.28
  5. Step 5: Solve for x
    x = 383,084,489.28/25,586.08
  6. Step 6: Final answer
    x = 14,972.38

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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.