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Finding the Fourth Proportional to 14,802.13, 20,425.96 and 8,429.38

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Solution

The fourth proportional to 14,802.13, 20,425.96 and 8,429.38 is: 11,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.13 : 20,425.96 = 8,429.38 : x
  2. Step 2: Convert to fraction form
    14,802.13/20,425.96 = 8,429.38/x
  3. Step 3: Cross multiply
    14,802.13x = 20,425.96 × 8,429.38
  4. Step 4: Simplify right side
    14,802.13x = 172,178,178.70
  5. Step 5: Solve for x
    x = 172,178,178.70/14,802.13
  6. Step 6: Final answer
    x = 11,631.99

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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.