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Finding the Fourth Proportional to 13,377.12, 18,459 and 7,711.80

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Solution

The fourth proportional to 13,377.12, 18,459 and 7,711.80 is: 10,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.12 : 18,459 = 7,711.80 : x
  2. Step 2: Convert to fraction form
    13,377.12/18,459 = 7,711.80/x
  3. Step 3: Cross multiply
    13,377.12x = 18,459 × 7,711.80
  4. Step 4: Simplify right side
    13,377.12x = 142,352,116.20
  5. Step 5: Solve for x
    x = 142,352,116.20/13,377.12
  6. Step 6: Final answer
    x = 10,641.46

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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.