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Finding the Fourth Proportional to 14,288.74, 19,717.70 and 7,915.14

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Solution

The fourth proportional to 14,288.74, 19,717.70 and 7,915.14 is: 10,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.74 : 19,717.70 = 7,915.14 : x
  2. Step 2: Convert to fraction form
    14,288.74/19,717.70 = 7,915.14/x
  3. Step 3: Cross multiply
    14,288.74x = 19,717.70 × 7,915.14
  4. Step 4: Simplify right side
    14,288.74x = 156,068,316.40
  5. Step 5: Solve for x
    x = 156,068,316.40/14,288.74
  6. Step 6: Final answer
    x = 10,922.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.