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Finding the Fourth Proportional to 24,508.32, 33,827.49 and 13,904.16

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Solution

The fourth proportional to 24,508.32, 33,827.49 and 13,904.16 is: 19,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.32 : 33,827.49 = 13,904.16 : x
  2. Step 2: Convert to fraction form
    24,508.32/33,827.49 = 13,904.16/x
  3. Step 3: Cross multiply
    24,508.32x = 33,827.49 × 13,904.16
  4. Step 4: Simplify right side
    24,508.32x = 470,342,833.36
  5. Step 5: Solve for x
    x = 470,342,833.36/24,508.32
  6. Step 6: Final answer
    x = 19,191.15

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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.