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Finding the Fourth Proportional to 12,457.78, 18,691.64 and 5,062.82

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Solution

The fourth proportional to 12,457.78, 18,691.64 and 5,062.82 is: 7,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.78 : 18,691.64 = 5,062.82 : x
  2. Step 2: Convert to fraction form
    12,457.78/18,691.64 = 5,062.82/x
  3. Step 3: Cross multiply
    12,457.78x = 18,691.64 × 5,062.82
  4. Step 4: Simplify right side
    12,457.78x = 94,632,328.02
  5. Step 5: Solve for x
    x = 94,632,328.02/12,457.78
  6. Step 6: Final answer
    x = 7,596.24

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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.