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Finding the Fourth Proportional to 24,423.99, 33,705.84 and 13,813.41

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Solution

The fourth proportional to 24,423.99, 33,705.84 and 13,813.41 is: 19,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.99 : 33,705.84 = 13,813.41 : x
  2. Step 2: Convert to fraction form
    24,423.99/33,705.84 = 13,813.41/x
  3. Step 3: Cross multiply
    24,423.99x = 33,705.84 × 13,813.41
  4. Step 4: Simplify right side
    24,423.99x = 465,592,587.31
  5. Step 5: Solve for x
    x = 465,592,587.31/24,423.99
  6. Step 6: Final answer
    x = 19,062.92

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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.