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Finding the Fourth Proportional to 14,854.46, 20,499.03 and 8,140.07

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Solution

The fourth proportional to 14,854.46, 20,499.03 and 8,140.07 is: 11,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.46 : 20,499.03 = 8,140.07 : x
  2. Step 2: Convert to fraction form
    14,854.46/20,499.03 = 8,140.07/x
  3. Step 3: Cross multiply
    14,854.46x = 20,499.03 × 8,140.07
  4. Step 4: Simplify right side
    14,854.46x = 166,863,590.38
  5. Step 5: Solve for x
    x = 166,863,590.38/14,854.46
  6. Step 6: Final answer
    x = 11,233.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.