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Finding the Fourth Proportional to 14,264.86, 19,686.56 and 8,216.15

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Solution

The fourth proportional to 14,264.86, 19,686.56 and 8,216.15 is: 11,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.86 : 19,686.56 = 8,216.15 : x
  2. Step 2: Convert to fraction form
    14,264.86/19,686.56 = 8,216.15/x
  3. Step 3: Cross multiply
    14,264.86x = 19,686.56 × 8,216.15
  4. Step 4: Simplify right side
    14,264.86x = 161,747,729.94
  5. Step 5: Solve for x
    x = 161,747,729.94/14,264.86
  6. Step 6: Final answer
    x = 11,338.89

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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.