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Finding the Fourth Proportional to 16,589.40, 22,895.52 and 9,514.44

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Solution

The fourth proportional to 16,589.40, 22,895.52 and 9,514.44 is: 13,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.40 : 22,895.52 = 9,514.44 : x
  2. Step 2: Convert to fraction form
    16,589.40/22,895.52 = 9,514.44/x
  3. Step 3: Cross multiply
    16,589.40x = 22,895.52 × 9,514.44
  4. Step 4: Simplify right side
    16,589.40x = 217,838,051.31
  5. Step 5: Solve for x
    x = 217,838,051.31/16,589.40
  6. Step 6: Final answer
    x = 13,131.16

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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.