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Finding the Fourth Proportional to 12,543.60, 17,302.62 and 8,294.74

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Solution

The fourth proportional to 12,543.60, 17,302.62 and 8,294.74 is: 11,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.60 : 17,302.62 = 8,294.74 : x
  2. Step 2: Convert to fraction form
    12,543.60/17,302.62 = 8,294.74/x
  3. Step 3: Cross multiply
    12,543.60x = 17,302.62 × 8,294.74
  4. Step 4: Simplify right side
    12,543.60x = 143,520,734.22
  5. Step 5: Solve for x
    x = 143,520,734.22/12,543.60
  6. Step 6: Final answer
    x = 11,441.75

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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.