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Finding the Fourth Proportional to 24,416.69, 33,695.75 and 13,806.10

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Solution

The fourth proportional to 24,416.69, 33,695.75 and 13,806.10 is: 19,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.69 : 33,695.75 = 13,806.10 : x
  2. Step 2: Convert to fraction form
    24,416.69/33,695.75 = 13,806.10/x
  3. Step 3: Cross multiply
    24,416.69x = 33,695.75 × 13,806.10
  4. Step 4: Simplify right side
    24,416.69x = 465,206,740.81
  5. Step 5: Solve for x
    x = 465,206,740.81/24,416.69
  6. Step 6: Final answer
    x = 19,052.82

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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.