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Finding the Fourth Proportional to 15,498.40, 23,215.20 and 8,564.80

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Solution

The fourth proportional to 15,498.40, 23,215.20 and 8,564.80 is: 12,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.40 : 23,215.20 = 8,564.80 : x
  2. Step 2: Convert to fraction form
    15,498.40/23,215.20 = 8,564.80/x
  3. Step 3: Cross multiply
    15,498.40x = 23,215.20 × 8,564.80
  4. Step 4: Simplify right side
    15,498.40x = 198,833,544.96
  5. Step 5: Solve for x
    x = 198,833,544.96/15,498.40
  6. Step 6: Final answer
    x = 12,829.29

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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.