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Finding the Fourth Proportional to 24,009, 33,132.34 and 13,398.04

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Solution

The fourth proportional to 24,009, 33,132.34 and 13,398.04 is: 18,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009 : 33,132.34 = 13,398.04 : x
  2. Step 2: Convert to fraction form
    24,009/33,132.34 = 13,398.04/x
  3. Step 3: Cross multiply
    24,009x = 33,132.34 × 13,398.04
  4. Step 4: Simplify right side
    24,009x = 443,908,416.61
  5. Step 5: Solve for x
    x = 443,908,416.61/24,009
  6. Step 6: Final answer
    x = 18,489.25

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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.