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Finding the Fourth Proportional to 12,652.71, 17,465.40 and 7,617.18

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Solution

The fourth proportional to 12,652.71, 17,465.40 and 7,617.18 is: 10,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.71 : 17,465.40 = 7,617.18 : x
  2. Step 2: Convert to fraction form
    12,652.71/17,465.40 = 7,617.18/x
  3. Step 3: Cross multiply
    12,652.71x = 17,465.40 × 7,617.18
  4. Step 4: Simplify right side
    12,652.71x = 133,037,095.57
  5. Step 5: Solve for x
    x = 133,037,095.57/12,652.71
  6. Step 6: Final answer
    x = 10,514.51

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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.