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Finding the Fourth Proportional to 24,498.32, 33,813.69 and 13,894.16

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Solution

The fourth proportional to 24,498.32, 33,813.69 and 13,894.16 is: 19,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.32 : 33,813.69 = 13,894.16 : x
  2. Step 2: Convert to fraction form
    24,498.32/33,813.69 = 13,894.16/x
  3. Step 3: Cross multiply
    24,498.32x = 33,813.69 × 13,894.16
  4. Step 4: Simplify right side
    24,498.32x = 469,812,819.05
  5. Step 5: Solve for x
    x = 469,812,819.05/24,498.32
  6. Step 6: Final answer
    x = 19,177.35

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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.