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Finding the Fourth Proportional to 24,442.65, 33,730.62 and 13,832.28

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Solution

The fourth proportional to 24,442.65, 33,730.62 and 13,832.28 is: 19,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.65 : 33,730.62 = 13,832.28 : x
  2. Step 2: Convert to fraction form
    24,442.65/33,730.62 = 13,832.28/x
  3. Step 3: Cross multiply
    24,442.65x = 33,730.62 × 13,832.28
  4. Step 4: Simplify right side
    24,442.65x = 466,571,380.41
  5. Step 5: Solve for x
    x = 466,571,380.41/24,442.65
  6. Step 6: Final answer
    x = 19,088.41

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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.