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Finding the Fourth Proportional to 14,342.84, 19,792.99 and 7,882.55

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Solution

The fourth proportional to 14,342.84, 19,792.99 and 7,882.55 is: 10,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.84 : 19,792.99 = 7,882.55 : x
  2. Step 2: Convert to fraction form
    14,342.84/19,792.99 = 7,882.55/x
  3. Step 3: Cross multiply
    14,342.84x = 19,792.99 × 7,882.55
  4. Step 4: Simplify right side
    14,342.84x = 156,019,263.10
  5. Step 5: Solve for x
    x = 156,019,263.10/14,342.84
  6. Step 6: Final answer
    x = 10,877.85

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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.