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Finding the Fourth Proportional to 14,833.38, 20,464.16 and 8,862.86

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Solution

The fourth proportional to 14,833.38, 20,464.16 and 8,862.86 is: 12,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.38 : 20,464.16 = 8,862.86 : x
  2. Step 2: Convert to fraction form
    14,833.38/20,464.16 = 8,862.86/x
  3. Step 3: Cross multiply
    14,833.38x = 20,464.16 × 8,862.86
  4. Step 4: Simplify right side
    14,833.38x = 181,370,985.10
  5. Step 5: Solve for x
    x = 181,370,985.10/14,833.38
  6. Step 6: Final answer
    x = 12,227.22

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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.