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Finding the Fourth Proportional to 25,584.19, 38,376 and 10,001.68

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Solution

The fourth proportional to 25,584.19, 38,376 and 10,001.68 is: 15,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584.19 : 38,376 = 10,001.68 : x
  2. Step 2: Convert to fraction form
    25,584.19/38,376 = 10,001.68/x
  3. Step 3: Cross multiply
    25,584.19x = 38,376 × 10,001.68
  4. Step 4: Simplify right side
    25,584.19x = 383,824,375.74
  5. Step 5: Solve for x
    x = 383,824,375.74/25,584.19
  6. Step 6: Final answer
    x = 15,002.41

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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.