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Finding the Fourth Proportional to 16,972.32, 23,425.54 and 9,899.80

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Solution

The fourth proportional to 16,972.32, 23,425.54 and 9,899.80 is: 13,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972.32 : 23,425.54 = 9,899.80 : x
  2. Step 2: Convert to fraction form
    16,972.32/23,425.54 = 9,899.80/x
  3. Step 3: Cross multiply
    16,972.32x = 23,425.54 × 9,899.80
  4. Step 4: Simplify right side
    16,972.32x = 231,908,160.89
  5. Step 5: Solve for x
    x = 231,908,160.89/16,972.32
  6. Step 6: Final answer
    x = 13,663.90

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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.