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Finding the Fourth Proportional to 16,877.16, 23,290.98 and 9,425

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Solution

The fourth proportional to 16,877.16, 23,290.98 and 9,425 is: 13,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,877.16 : 23,290.98 = 9,425 : x
  2. Step 2: Convert to fraction form
    16,877.16/23,290.98 = 9,425/x
  3. Step 3: Cross multiply
    16,877.16x = 23,290.98 × 9,425
  4. Step 4: Simplify right side
    16,877.16x = 219,517,486.50
  5. Step 5: Solve for x
    x = 219,517,486.50/16,877.16
  6. Step 6: Final answer
    x = 13,006.78

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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.