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Finding the Fourth Proportional to 14,865.34, 20,514 and 8,577.58

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Solution

The fourth proportional to 14,865.34, 20,514 and 8,577.58 is: 11,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.34 : 20,514 = 8,577.58 : x
  2. Step 2: Convert to fraction form
    14,865.34/20,514 = 8,577.58/x
  3. Step 3: Cross multiply
    14,865.34x = 20,514 × 8,577.58
  4. Step 4: Simplify right side
    14,865.34x = 175,960,476.12
  5. Step 5: Solve for x
    x = 175,960,476.12/14,865.34
  6. Step 6: Final answer
    x = 11,836.96

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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.