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Finding the Fourth Proportional to 14,565.66, 21,847.93 and 4,177.41

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Solution

The fourth proportional to 14,565.66, 21,847.93 and 4,177.41 is: 6,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.66 : 21,847.93 = 4,177.41 : x
  2. Step 2: Convert to fraction form
    14,565.66/21,847.93 = 4,177.41/x
  3. Step 3: Cross multiply
    14,565.66x = 21,847.93 × 4,177.41
  4. Step 4: Simplify right side
    14,565.66x = 91,267,750.82
  5. Step 5: Solve for x
    x = 91,267,750.82/14,565.66
  6. Step 6: Final answer
    x = 6,265.95

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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.