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Finding the Fourth Proportional to 12,985.76, 17,916.72 and 8,742.80

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Solution

The fourth proportional to 12,985.76, 17,916.72 and 8,742.80 is: 12,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.76 : 17,916.72 = 8,742.80 : x
  2. Step 2: Convert to fraction form
    12,985.76/17,916.72 = 8,742.80/x
  3. Step 3: Cross multiply
    12,985.76x = 17,916.72 × 8,742.80
  4. Step 4: Simplify right side
    12,985.76x = 156,642,299.62
  5. Step 5: Solve for x
    x = 156,642,299.62/12,985.76
  6. Step 6: Final answer
    x = 12,062.62

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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.