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Finding the Fourth Proportional to 16,044, 24,068.22 and 4,951.57

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Solution

The fourth proportional to 16,044, 24,068.22 and 4,951.57 is: 7,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044 : 24,068.22 = 4,951.57 : x
  2. Step 2: Convert to fraction form
    16,044/24,068.22 = 4,951.57/x
  3. Step 3: Cross multiply
    16,044x = 24,068.22 × 4,951.57
  4. Step 4: Simplify right side
    16,044x = 119,175,476.11
  5. Step 5: Solve for x
    x = 119,175,476.11/16,044
  6. Step 6: Final answer
    x = 7,428.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.