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Finding the Fourth Proportional to 12,406.53, 18,702.78 and 11,581.68

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Solution

The fourth proportional to 12,406.53, 18,702.78 and 11,581.68 is: 17,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.53 : 18,702.78 = 11,581.68 : x
  2. Step 2: Convert to fraction form
    12,406.53/18,702.78 = 11,581.68/x
  3. Step 3: Cross multiply
    12,406.53x = 18,702.78 × 11,581.68
  4. Step 4: Simplify right side
    12,406.53x = 216,609,613.07
  5. Step 5: Solve for x
    x = 216,609,613.07/12,406.53
  6. Step 6: Final answer
    x = 17,459.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.