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Finding the Fourth Proportional to 10,354.42, 15,456.56 and 9,583.57

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Solution

The fourth proportional to 10,354.42, 15,456.56 and 9,583.57 is: 14,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.42 : 15,456.56 = 9,583.57 : x
  2. Step 2: Convert to fraction form
    10,354.42/15,456.56 = 9,583.57/x
  3. Step 3: Cross multiply
    10,354.42x = 15,456.56 × 9,583.57
  4. Step 4: Simplify right side
    10,354.42x = 148,129,024.72
  5. Step 5: Solve for x
    x = 148,129,024.72/10,354.42
  6. Step 6: Final answer
    x = 14,305.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.