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Finding the Fourth Proportional to 23,714.10, 32,726.43 and 13,642.56

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Solution

The fourth proportional to 23,714.10, 32,726.43 and 13,642.56 is: 18,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.10 : 32,726.43 = 13,642.56 : x
  2. Step 2: Convert to fraction form
    23,714.10/32,726.43 = 13,642.56/x
  3. Step 3: Cross multiply
    23,714.10x = 32,726.43 × 13,642.56
  4. Step 4: Simplify right side
    23,714.10x = 446,472,284.86
  5. Step 5: Solve for x
    x = 446,472,284.86/23,714.10
  6. Step 6: Final answer
    x = 18,827.29

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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.