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Finding the Fourth Proportional to 16,497.95, 22,761.91 and 10,117.98

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Solution

The fourth proportional to 16,497.95, 22,761.91 and 10,117.98 is: 13,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.95 : 22,761.91 = 10,117.98 : x
  2. Step 2: Convert to fraction form
    16,497.95/22,761.91 = 10,117.98/x
  3. Step 3: Cross multiply
    16,497.95x = 22,761.91 × 10,117.98
  4. Step 4: Simplify right side
    16,497.95x = 230,304,562.79
  5. Step 5: Solve for x
    x = 230,304,562.79/16,497.95
  6. Step 6: Final answer
    x = 13,959.59

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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.