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Finding the Fourth Proportional to 16,534.86, 22,818.51 and 9,463.56

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Solution

The fourth proportional to 16,534.86, 22,818.51 and 9,463.56 is: 13,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.86 : 22,818.51 = 9,463.56 : x
  2. Step 2: Convert to fraction form
    16,534.86/22,818.51 = 9,463.56/x
  3. Step 3: Cross multiply
    16,534.86x = 22,818.51 × 9,463.56
  4. Step 4: Simplify right side
    16,534.86x = 215,944,338.50
  5. Step 5: Solve for x
    x = 215,944,338.50/16,534.86
  6. Step 6: Final answer
    x = 13,059.94

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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.