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Finding the Fourth Proportional to 14,002.47, 19,327.14 and 8,264.97

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Solution

The fourth proportional to 14,002.47, 19,327.14 and 8,264.97 is: 11,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.47 : 19,327.14 = 8,264.97 : x
  2. Step 2: Convert to fraction form
    14,002.47/19,327.14 = 8,264.97/x
  3. Step 3: Cross multiply
    14,002.47x = 19,327.14 × 8,264.97
  4. Step 4: Simplify right side
    14,002.47x = 159,738,232.29
  5. Step 5: Solve for x
    x = 159,738,232.29/14,002.47
  6. Step 6: Final answer
    x = 11,407.86

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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.