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Finding the Fourth Proportional to 24,742.28, 37,120.32 and 9,961.52

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Solution

The fourth proportional to 24,742.28, 37,120.32 and 9,961.52 is: 14,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.28 : 37,120.32 = 9,961.52 : x
  2. Step 2: Convert to fraction form
    24,742.28/37,120.32 = 9,961.52/x
  3. Step 3: Cross multiply
    24,742.28x = 37,120.32 × 9,961.52
  4. Step 4: Simplify right side
    24,742.28x = 369,774,810.09
  5. Step 5: Solve for x
    x = 369,774,810.09/24,742.28
  6. Step 6: Final answer
    x = 14,945.06

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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.