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Finding the Fourth Proportional to 17,685.83, 24,405.35 and 10,616.15

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Solution

The fourth proportional to 17,685.83, 24,405.35 and 10,616.15 is: 14,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.83 : 24,405.35 = 10,616.15 : x
  2. Step 2: Convert to fraction form
    17,685.83/24,405.35 = 10,616.15/x
  3. Step 3: Cross multiply
    17,685.83x = 24,405.35 × 10,616.15
  4. Step 4: Simplify right side
    17,685.83x = 259,090,681.30
  5. Step 5: Solve for x
    x = 259,090,681.30/17,685.83
  6. Step 6: Final answer
    x = 14,649.62

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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.