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Finding the Fourth Proportional to 12,172.72, 18,260.16 and 3,407.74

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Solution

The fourth proportional to 12,172.72, 18,260.16 and 3,407.74 is: 5,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.72 : 18,260.16 = 3,407.74 : x
  2. Step 2: Convert to fraction form
    12,172.72/18,260.16 = 3,407.74/x
  3. Step 3: Cross multiply
    12,172.72x = 18,260.16 × 3,407.74
  4. Step 4: Simplify right side
    12,172.72x = 62,225,877.64
  5. Step 5: Solve for x
    x = 62,225,877.64/12,172.72
  6. Step 6: Final answer
    x = 5,111.91

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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.