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Finding the Fourth Proportional to 14,458.29, 19,952.90 and 9,425.76

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Solution

The fourth proportional to 14,458.29, 19,952.90 and 9,425.76 is: 13,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.29 : 19,952.90 = 9,425.76 : x
  2. Step 2: Convert to fraction form
    14,458.29/19,952.90 = 9,425.76/x
  3. Step 3: Cross multiply
    14,458.29x = 19,952.90 × 9,425.76
  4. Step 4: Simplify right side
    14,458.29x = 188,071,246.70
  5. Step 5: Solve for x
    x = 188,071,246.70/14,458.29
  6. Step 6: Final answer
    x = 13,007.85

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