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Finding the Fourth Proportional to 24,444.60, 33,734.16 and 13,832.16

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Solution

The fourth proportional to 24,444.60, 33,734.16 and 13,832.16 is: 19,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,444.60 : 33,734.16 = 13,832.16 : x
  2. Step 2: Convert to fraction form
    24,444.60/33,734.16 = 13,832.16/x
  3. Step 3: Cross multiply
    24,444.60x = 33,734.16 × 13,832.16
  4. Step 4: Simplify right side
    24,444.60x = 466,616,298.59
  5. Step 5: Solve for x
    x = 466,616,298.59/24,444.60
  6. Step 6: Final answer
    x = 19,088.73

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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.