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Finding the Fourth Proportional to 14,765.40, 22,144.14 and 10,084.61

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Solution

The fourth proportional to 14,765.40, 22,144.14 and 10,084.61 is: 15,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.40 : 22,144.14 = 10,084.61 : x
  2. Step 2: Convert to fraction form
    14,765.40/22,144.14 = 10,084.61/x
  3. Step 3: Cross multiply
    14,765.40x = 22,144.14 × 10,084.61
  4. Step 4: Simplify right side
    14,765.40x = 223,314,904.96
  5. Step 5: Solve for x
    x = 223,314,904.96/14,765.40
  6. Step 6: Final answer
    x = 15,124.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.