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Finding the Fourth Proportional to 16,349.05, 22,561.50 and 9,275.53

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Solution

The fourth proportional to 16,349.05, 22,561.50 and 9,275.53 is: 12,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.05 : 22,561.50 = 9,275.53 : x
  2. Step 2: Convert to fraction form
    16,349.05/22,561.50 = 9,275.53/x
  3. Step 3: Cross multiply
    16,349.05x = 22,561.50 × 9,275.53
  4. Step 4: Simplify right side
    16,349.05x = 209,269,870.10
  5. Step 5: Solve for x
    x = 209,269,870.10/16,349.05
  6. Step 6: Final answer
    x = 12,800.12

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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.