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Finding the Fourth Proportional to 23,265.80, 32,106.46 and 12,655.20

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Solution

The fourth proportional to 23,265.80, 32,106.46 and 12,655.20 is: 17,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265.80 : 32,106.46 = 12,655.20 : x
  2. Step 2: Convert to fraction form
    23,265.80/32,106.46 = 12,655.20/x
  3. Step 3: Cross multiply
    23,265.80x = 32,106.46 × 12,655.20
  4. Step 4: Simplify right side
    23,265.80x = 406,313,672.59
  5. Step 5: Solve for x
    x = 406,313,672.59/23,265.80
  6. Step 6: Final answer
    x = 17,463.99

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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.