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Finding the Fourth Proportional to 14,463.60, 19,959.10 and 8,500.38

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Solution

The fourth proportional to 14,463.60, 19,959.10 and 8,500.38 is: 11,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.60 : 19,959.10 = 8,500.38 : x
  2. Step 2: Convert to fraction form
    14,463.60/19,959.10 = 8,500.38/x
  3. Step 3: Cross multiply
    14,463.60x = 19,959.10 × 8,500.38
  4. Step 4: Simplify right side
    14,463.60x = 169,659,934.46
  5. Step 5: Solve for x
    x = 169,659,934.46/14,463.60
  6. Step 6: Final answer
    x = 11,730.13

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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.