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Finding the Fourth Proportional to 15,649.20, 23,498.10 and 9,088.20

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Solution

The fourth proportional to 15,649.20, 23,498.10 and 9,088.20 is: 13,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.20 : 23,498.10 = 9,088.20 : x
  2. Step 2: Convert to fraction form
    15,649.20/23,498.10 = 9,088.20/x
  3. Step 3: Cross multiply
    15,649.20x = 23,498.10 × 9,088.20
  4. Step 4: Simplify right side
    15,649.20x = 213,555,432.42
  5. Step 5: Solve for x
    x = 213,555,432.42/15,649.20
  6. Step 6: Final answer
    x = 13,646.41

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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.