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Finding the Fourth Proportional to 16,877.98, 23,292.62 and 9,710.24

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Solution

The fourth proportional to 16,877.98, 23,292.62 and 9,710.24 is: 13,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,877.98 : 23,292.62 = 9,710.24 : x
  2. Step 2: Convert to fraction form
    16,877.98/23,292.62 = 9,710.24/x
  3. Step 3: Cross multiply
    16,877.98x = 23,292.62 × 9,710.24
  4. Step 4: Simplify right side
    16,877.98x = 226,176,930.43
  5. Step 5: Solve for x
    x = 226,176,930.43/16,877.98
  6. Step 6: Final answer
    x = 13,400.71

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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.