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Finding the Fourth Proportional to 12,632.32, 18,948.48 and 11,680

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Solution

The fourth proportional to 12,632.32, 18,948.48 and 11,680 is: 17,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.32 : 18,948.48 = 11,680 : x
  2. Step 2: Convert to fraction form
    12,632.32/18,948.48 = 11,680/x
  3. Step 3: Cross multiply
    12,632.32x = 18,948.48 × 11,680
  4. Step 4: Simplify right side
    12,632.32x = 221,318,246.40
  5. Step 5: Solve for x
    x = 221,318,246.40/12,632.32
  6. Step 6: Final answer
    x = 17,520

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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.