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Finding the Fourth Proportional to 23,562.90, 32,514.12 and 13,494.06

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Solution

The fourth proportional to 23,562.90, 32,514.12 and 13,494.06 is: 18,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.90 : 32,514.12 = 13,494.06 : x
  2. Step 2: Convert to fraction form
    23,562.90/32,514.12 = 13,494.06/x
  3. Step 3: Cross multiply
    23,562.90x = 32,514.12 × 13,494.06
  4. Step 4: Simplify right side
    23,562.90x = 438,747,486.13
  5. Step 5: Solve for x
    x = 438,747,486.13/23,562.90
  6. Step 6: Final answer
    x = 18,620.27

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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.