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Finding the Fourth Proportional to 24,774.30, 37,112.85 and 14,884.20

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Solution

The fourth proportional to 24,774.30, 37,112.85 and 14,884.20 is: 22,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.30 : 37,112.85 = 14,884.20 : x
  2. Step 2: Convert to fraction form
    24,774.30/37,112.85 = 14,884.20/x
  3. Step 3: Cross multiply
    24,774.30x = 37,112.85 × 14,884.20
  4. Step 4: Simplify right side
    24,774.30x = 552,395,081.97
  5. Step 5: Solve for x
    x = 552,395,081.97/24,774.30
  6. Step 6: Final answer
    x = 22,297.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.