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Finding the Fourth Proportional to 24,419.13, 33,700.08 and 13,808.80

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Solution

The fourth proportional to 24,419.13, 33,700.08 and 13,808.80 is: 19,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.13 : 33,700.08 = 13,808.80 : x
  2. Step 2: Convert to fraction form
    24,419.13/33,700.08 = 13,808.80/x
  3. Step 3: Cross multiply
    24,419.13x = 33,700.08 × 13,808.80
  4. Step 4: Simplify right side
    24,419.13x = 465,357,664.70
  5. Step 5: Solve for x
    x = 465,357,664.70/24,419.13
  6. Step 6: Final answer
    x = 19,057.09

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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.