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Finding the Fourth Proportional to 14,514.88, 20,030.76 and 8,142.89

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Solution

The fourth proportional to 14,514.88, 20,030.76 and 8,142.89 is: 11,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.88 : 20,030.76 = 8,142.89 : x
  2. Step 2: Convert to fraction form
    14,514.88/20,030.76 = 8,142.89/x
  3. Step 3: Cross multiply
    14,514.88x = 20,030.76 × 8,142.89
  4. Step 4: Simplify right side
    14,514.88x = 163,108,175.14
  5. Step 5: Solve for x
    x = 163,108,175.14/14,514.88
  6. Step 6: Final answer
    x = 11,237.31

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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.