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Finding the Fourth Proportional to 17,862.12, 24,652.32 and 10,309.68

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Solution

The fourth proportional to 17,862.12, 24,652.32 and 10,309.68 is: 14,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.12 : 24,652.32 = 10,309.68 : x
  2. Step 2: Convert to fraction form
    17,862.12/24,652.32 = 10,309.68/x
  3. Step 3: Cross multiply
    17,862.12x = 24,652.32 × 10,309.68
  4. Step 4: Simplify right side
    17,862.12x = 254,157,530.46
  5. Step 5: Solve for x
    x = 254,157,530.46/17,862.12
  6. Step 6: Final answer
    x = 14,228.86

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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.