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Finding the Fourth Proportional to 16,761.40, 23,130.90 and 9,207.80

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Solution

The fourth proportional to 16,761.40, 23,130.90 and 9,207.80 is: 12,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.40 : 23,130.90 = 9,207.80 : x
  2. Step 2: Convert to fraction form
    16,761.40/23,130.90 = 9,207.80/x
  3. Step 3: Cross multiply
    16,761.40x = 23,130.90 × 9,207.80
  4. Step 4: Simplify right side
    16,761.40x = 212,984,701.02
  5. Step 5: Solve for x
    x = 212,984,701.02/16,761.40
  6. Step 6: Final answer
    x = 12,706.86

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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.