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Finding the Fourth Proportional to 16,538.64, 22,818.15 and 9,463.70

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Solution

The fourth proportional to 16,538.64, 22,818.15 and 9,463.70 is: 13,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.64 : 22,818.15 = 9,463.70 : x
  2. Step 2: Convert to fraction form
    16,538.64/22,818.15 = 9,463.70/x
  3. Step 3: Cross multiply
    16,538.64x = 22,818.15 × 9,463.70
  4. Step 4: Simplify right side
    16,538.64x = 215,944,012.06
  5. Step 5: Solve for x
    x = 215,944,012.06/16,538.64
  6. Step 6: Final answer
    x = 13,056.94

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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.