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Finding the Fourth Proportional to 14,432, 19,916.64 and 8,841.92

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Solution

The fourth proportional to 14,432, 19,916.64 and 8,841.92 is: 12,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432 : 19,916.64 = 8,841.92 : x
  2. Step 2: Convert to fraction form
    14,432/19,916.64 = 8,841.92/x
  3. Step 3: Cross multiply
    14,432x = 19,916.64 × 8,841.92
  4. Step 4: Simplify right side
    14,432x = 176,101,337.55
  5. Step 5: Solve for x
    x = 176,101,337.55/14,432
  6. Step 6: Final answer
    x = 12,202.14

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Why These Related Problems?

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