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Finding the Fourth Proportional to 15,084.46, 22,648.80 and 10,411.60

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Solution

The fourth proportional to 15,084.46, 22,648.80 and 10,411.60 is: 15,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.46 : 22,648.80 = 10,411.60 : x
  2. Step 2: Convert to fraction form
    15,084.46/22,648.80 = 10,411.60/x
  3. Step 3: Cross multiply
    15,084.46x = 22,648.80 × 10,411.60
  4. Step 4: Simplify right side
    15,084.46x = 235,810,246.08
  5. Step 5: Solve for x
    x = 235,810,246.08/15,084.46
  6. Step 6: Final answer
    x = 15,632.66

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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.