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Finding the Fourth Proportional to 10,424.80, 15,655.86 and 9,590.38

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Solution

The fourth proportional to 10,424.80, 15,655.86 and 9,590.38 is: 14,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.80 : 15,655.86 = 9,590.38 : x
  2. Step 2: Convert to fraction form
    10,424.80/15,655.86 = 9,590.38/x
  3. Step 3: Cross multiply
    10,424.80x = 15,655.86 × 9,590.38
  4. Step 4: Simplify right side
    10,424.80x = 150,145,646.63
  5. Step 5: Solve for x
    x = 150,145,646.63/10,424.80
  6. Step 6: Final answer
    x = 14,402.74

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