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Finding the Fourth Proportional to 12,359.32, 18,538.86 and 10,506.04

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Solution

The fourth proportional to 12,359.32, 18,538.86 and 10,506.04 is: 15,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.32 : 18,538.86 = 10,506.04 : x
  2. Step 2: Convert to fraction form
    12,359.32/18,538.86 = 10,506.04/x
  3. Step 3: Cross multiply
    12,359.32x = 18,538.86 × 10,506.04
  4. Step 4: Simplify right side
    12,359.32x = 194,770,004.71
  5. Step 5: Solve for x
    x = 194,770,004.71/12,359.32
  6. Step 6: Final answer
    x = 15,758.96

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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.