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Finding the Fourth Proportional to 14,813.65, 20,432.82 and 9,514.90

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Solution

The fourth proportional to 14,813.65, 20,432.82 and 9,514.90 is: 13,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.65 : 20,432.82 = 9,514.90 : x
  2. Step 2: Convert to fraction form
    14,813.65/20,432.82 = 9,514.90/x
  3. Step 3: Cross multiply
    14,813.65x = 20,432.82 × 9,514.90
  4. Step 4: Simplify right side
    14,813.65x = 194,416,239.02
  5. Step 5: Solve for x
    x = 194,416,239.02/14,813.65
  6. Step 6: Final answer
    x = 13,124.13

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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.