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Finding the Fourth Proportional to 15,393, 23,061.15 and 13,732.64

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Solution

The fourth proportional to 15,393, 23,061.15 and 13,732.64 is: 20,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,393 : 23,061.15 = 13,732.64 : x
  2. Step 2: Convert to fraction form
    15,393/23,061.15 = 13,732.64/x
  3. Step 3: Cross multiply
    15,393x = 23,061.15 × 13,732.64
  4. Step 4: Simplify right side
    15,393x = 316,690,470.94
  5. Step 5: Solve for x
    x = 316,690,470.94/15,393
  6. Step 6: Final answer
    x = 20,573.67

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Why These Related Problems?

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