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Finding the Fourth Proportional to 14,332.38, 19,785.40 and 9,560.30

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Solution

The fourth proportional to 14,332.38, 19,785.40 and 9,560.30 is: 13,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.38 : 19,785.40 = 9,560.30 : x
  2. Step 2: Convert to fraction form
    14,332.38/19,785.40 = 9,560.30/x
  3. Step 3: Cross multiply
    14,332.38x = 19,785.40 × 9,560.30
  4. Step 4: Simplify right side
    14,332.38x = 189,154,359.62
  5. Step 5: Solve for x
    x = 189,154,359.62/14,332.38
  6. Step 6: Final answer
    x = 13,197.69

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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.