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Finding the Fourth Proportional to 24,416.79, 33,698.28 and 13,806.20

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Solution

The fourth proportional to 24,416.79, 33,698.28 and 13,806.20 is: 19,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.79 : 33,698.28 = 13,806.20 : x
  2. Step 2: Convert to fraction form
    24,416.79/33,698.28 = 13,806.20/x
  3. Step 3: Cross multiply
    24,416.79x = 33,698.28 × 13,806.20
  4. Step 4: Simplify right side
    24,416.79x = 465,245,024.84
  5. Step 5: Solve for x
    x = 465,245,024.84/24,416.79
  6. Step 6: Final answer
    x = 19,054.31

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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.