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Finding the Fourth Proportional to 14,514.16, 20,029.75 and 10,873.76

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Solution

The fourth proportional to 14,514.16, 20,029.75 and 10,873.76 is: 15,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.16 : 20,029.75 = 10,873.76 : x
  2. Step 2: Convert to fraction form
    14,514.16/20,029.75 = 10,873.76/x
  3. Step 3: Cross multiply
    14,514.16x = 20,029.75 × 10,873.76
  4. Step 4: Simplify right side
    14,514.16x = 217,798,567.03
  5. Step 5: Solve for x
    x = 217,798,567.03/14,514.16
  6. Step 6: Final answer
    x = 15,005.94

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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.