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Finding the Fourth Proportional to 15,828.40, 23,743 and 5,440.08

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Solution

The fourth proportional to 15,828.40, 23,743 and 5,440.08 is: 8,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.40 : 23,743 = 5,440.08 : x
  2. Step 2: Convert to fraction form
    15,828.40/23,743 = 5,440.08/x
  3. Step 3: Cross multiply
    15,828.40x = 23,743 × 5,440.08
  4. Step 4: Simplify right side
    15,828.40x = 129,163,819.44
  5. Step 5: Solve for x
    x = 129,163,819.44/15,828.40
  6. Step 6: Final answer
    x = 8,160.26

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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.