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Finding the Fourth Proportional to 16,510.82, 22,785 and 9,437.48

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Solution

The fourth proportional to 16,510.82, 22,785 and 9,437.48 is: 13,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.82 : 22,785 = 9,437.48 : x
  2. Step 2: Convert to fraction form
    16,510.82/22,785 = 9,437.48/x
  3. Step 3: Cross multiply
    16,510.82x = 22,785 × 9,437.48
  4. Step 4: Simplify right side
    16,510.82x = 215,032,981.80
  5. Step 5: Solve for x
    x = 215,032,981.80/16,510.82
  6. Step 6: Final answer
    x = 13,023.76

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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.