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Finding the Fourth Proportional to 17,620.20, 24,316.65 and 9,663

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Solution

The fourth proportional to 17,620.20, 24,316.65 and 9,663 is: 13,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,620.20 : 24,316.65 = 9,663 : x
  2. Step 2: Convert to fraction form
    17,620.20/24,316.65 = 9,663/x
  3. Step 3: Cross multiply
    17,620.20x = 24,316.65 × 9,663
  4. Step 4: Simplify right side
    17,620.20x = 234,971,788.95
  5. Step 5: Solve for x
    x = 234,971,788.95/17,620.20
  6. Step 6: Final answer
    x = 13,335.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.