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Finding the Fourth Proportional to 12,662.86, 17,472.90 and 7,948.66

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Solution

The fourth proportional to 12,662.86, 17,472.90 and 7,948.66 is: 10,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.86 : 17,472.90 = 7,948.66 : x
  2. Step 2: Convert to fraction form
    12,662.86/17,472.90 = 7,948.66/x
  3. Step 3: Cross multiply
    12,662.86x = 17,472.90 × 7,948.66
  4. Step 4: Simplify right side
    12,662.86x = 138,886,141.31
  5. Step 5: Solve for x
    x = 138,886,141.31/12,662.86
  6. Step 6: Final answer
    x = 10,967.99

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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.