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Finding the Fourth Proportional to 12,862.60, 17,742.43 and 8,827.58

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Solution

The fourth proportional to 12,862.60, 17,742.43 and 8,827.58 is: 12,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.60 : 17,742.43 = 8,827.58 : x
  2. Step 2: Convert to fraction form
    12,862.60/17,742.43 = 8,827.58/x
  3. Step 3: Cross multiply
    12,862.60x = 17,742.43 × 8,827.58
  4. Step 4: Simplify right side
    12,862.60x = 156,622,720.22
  5. Step 5: Solve for x
    x = 156,622,720.22/12,862.60
  6. Step 6: Final answer
    x = 12,176.60

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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.