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Finding the Fourth Proportional to 24,234.80, 33,441.72 and 14,165.60

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Solution

The fourth proportional to 24,234.80, 33,441.72 and 14,165.60 is: 19,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.80 : 33,441.72 = 14,165.60 : x
  2. Step 2: Convert to fraction form
    24,234.80/33,441.72 = 14,165.60/x
  3. Step 3: Cross multiply
    24,234.80x = 33,441.72 × 14,165.60
  4. Step 4: Simplify right side
    24,234.80x = 473,722,028.83
  5. Step 5: Solve for x
    x = 473,722,028.83/24,234.80
  6. Step 6: Final answer
    x = 19,547.18

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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.