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Finding the Fourth Proportional to 24,430.86, 33,714.54 and 13,252.86

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Solution

The fourth proportional to 24,430.86, 33,714.54 and 13,252.86 is: 18,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430.86 : 33,714.54 = 13,252.86 : x
  2. Step 2: Convert to fraction form
    24,430.86/33,714.54 = 13,252.86/x
  3. Step 3: Cross multiply
    24,430.86x = 33,714.54 × 13,252.86
  4. Step 4: Simplify right side
    24,430.86x = 446,814,078.58
  5. Step 5: Solve for x
    x = 446,814,078.58/24,430.86
  6. Step 6: Final answer
    x = 18,288.92

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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.