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Finding the Fourth Proportional to 14,563.86, 21,854.85 and 6,665.10

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Solution

The fourth proportional to 14,563.86, 21,854.85 and 6,665.10 is: 10,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.86 : 21,854.85 = 6,665.10 : x
  2. Step 2: Convert to fraction form
    14,563.86/21,854.85 = 6,665.10/x
  3. Step 3: Cross multiply
    14,563.86x = 21,854.85 × 6,665.10
  4. Step 4: Simplify right side
    14,563.86x = 145,664,760.74
  5. Step 5: Solve for x
    x = 145,664,760.74/14,563.86
  6. Step 6: Final answer
    x = 10,001.80

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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.