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Finding the Fourth Proportional to 12,411.83, 18,617.45 and 6,862.32

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Solution

The fourth proportional to 12,411.83, 18,617.45 and 6,862.32 is: 10,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.83 : 18,617.45 = 6,862.32 : x
  2. Step 2: Convert to fraction form
    12,411.83/18,617.45 = 6,862.32/x
  3. Step 3: Cross multiply
    12,411.83x = 18,617.45 × 6,862.32
  4. Step 4: Simplify right side
    12,411.83x = 127,758,865.17
  5. Step 5: Solve for x
    x = 127,758,865.17/12,411.83
  6. Step 6: Final answer
    x = 10,293.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.