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Finding the Fourth Proportional to 15,498.92, 23,258.16 and 5,638.88

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Solution

The fourth proportional to 15,498.92, 23,258.16 and 5,638.88 is: 8,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.92 : 23,258.16 = 5,638.88 : x
  2. Step 2: Convert to fraction form
    15,498.92/23,258.16 = 5,638.88/x
  3. Step 3: Cross multiply
    15,498.92x = 23,258.16 × 5,638.88
  4. Step 4: Simplify right side
    15,498.92x = 131,149,973.26
  5. Step 5: Solve for x
    x = 131,149,973.26/15,498.92
  6. Step 6: Final answer
    x = 8,461.88

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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.