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Finding the Fourth Proportional to 14,854.57, 20,499.31 and 8,048.60

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Solution

The fourth proportional to 14,854.57, 20,499.31 and 8,048.60 is: 11,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.57 : 20,499.31 = 8,048.60 : x
  2. Step 2: Convert to fraction form
    14,854.57/20,499.31 = 8,048.60/x
  3. Step 3: Cross multiply
    14,854.57x = 20,499.31 × 8,048.60
  4. Step 4: Simplify right side
    14,854.57x = 164,990,706.22
  5. Step 5: Solve for x
    x = 164,990,706.22/14,854.57
  6. Step 6: Final answer
    x = 11,107.07

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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.