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Finding the Fourth Proportional to 24,430, 33,714.12 and 13,819.42

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Solution

The fourth proportional to 24,430, 33,714.12 and 13,819.42 is: 19,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430 : 33,714.12 = 13,819.42 : x
  2. Step 2: Convert to fraction form
    24,430/33,714.12 = 13,819.42/x
  3. Step 3: Cross multiply
    24,430x = 33,714.12 × 13,819.42
  4. Step 4: Simplify right side
    24,430x = 465,909,584.21
  5. Step 5: Solve for x
    x = 465,909,584.21/24,430
  6. Step 6: Final answer
    x = 19,071.21

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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.