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Finding the Fourth Proportional to 15,443.65, 23,147.40 and 13,692

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Solution

The fourth proportional to 15,443.65, 23,147.40 and 13,692 is: 20,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,443.65 : 23,147.40 = 13,692 : x
  2. Step 2: Convert to fraction form
    15,443.65/23,147.40 = 13,692/x
  3. Step 3: Cross multiply
    15,443.65x = 23,147.40 × 13,692
  4. Step 4: Simplify right side
    15,443.65x = 316,934,200.80
  5. Step 5: Solve for x
    x = 316,934,200.80/15,443.65
  6. Step 6: Final answer
    x = 20,521.98

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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.