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Finding the Fourth Proportional to 10,217.99, 15,337.71 and 9,055.43

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Solution

The fourth proportional to 10,217.99, 15,337.71 and 9,055.43 is: 13,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.99 : 15,337.71 = 9,055.43 : x
  2. Step 2: Convert to fraction form
    10,217.99/15,337.71 = 9,055.43/x
  3. Step 3: Cross multiply
    10,217.99x = 15,337.71 × 9,055.43
  4. Step 4: Simplify right side
    10,217.99x = 138,889,559.27
  5. Step 5: Solve for x
    x = 138,889,559.27/10,217.99
  6. Step 6: Final answer
    x = 13,592.65

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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.