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Finding the Fourth Proportional to 12,427.86, 18,641.69 and 5,032.20

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Solution

The fourth proportional to 12,427.86, 18,641.69 and 5,032.20 is: 7,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.86 : 18,641.69 = 5,032.20 : x
  2. Step 2: Convert to fraction form
    12,427.86/18,641.69 = 5,032.20/x
  3. Step 3: Cross multiply
    12,427.86x = 18,641.69 × 5,032.20
  4. Step 4: Simplify right side
    12,427.86x = 93,808,751.91
  5. Step 5: Solve for x
    x = 93,808,751.91/12,427.86
  6. Step 6: Final answer
    x = 7,548.27

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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.