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Finding the Fourth Proportional to 14,641.66, 21,966.24 and 4,111.71

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Solution

The fourth proportional to 14,641.66, 21,966.24 and 4,111.71 is: 6,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.66 : 21,966.24 = 4,111.71 : x
  2. Step 2: Convert to fraction form
    14,641.66/21,966.24 = 4,111.71/x
  3. Step 3: Cross multiply
    14,641.66x = 21,966.24 × 4,111.71
  4. Step 4: Simplify right side
    14,641.66x = 90,318,842.15
  5. Step 5: Solve for x
    x = 90,318,842.15/14,641.66
  6. Step 6: Final answer
    x = 6,168.62

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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.