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Finding the Fourth Proportional to 17,802.68, 24,567.65 and 10,246.25

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Solution

The fourth proportional to 17,802.68, 24,567.65 and 10,246.25 is: 14,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.68 : 24,567.65 = 10,246.25 : x
  2. Step 2: Convert to fraction form
    17,802.68/24,567.65 = 10,246.25/x
  3. Step 3: Cross multiply
    17,802.68x = 24,567.65 × 10,246.25
  4. Step 4: Simplify right side
    17,802.68x = 251,726,309.43
  5. Step 5: Solve for x
    x = 251,726,309.43/17,802.68
  6. Step 6: Final answer
    x = 14,139.80

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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.