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Finding the Fourth Proportional to 24,256.56, 33,478.12 and 14,046.08

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Solution

The fourth proportional to 24,256.56, 33,478.12 and 14,046.08 is: 19,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256.56 : 33,478.12 = 14,046.08 : x
  2. Step 2: Convert to fraction form
    24,256.56/33,478.12 = 14,046.08/x
  3. Step 3: Cross multiply
    24,256.56x = 33,478.12 × 14,046.08
  4. Step 4: Simplify right side
    24,256.56x = 470,236,351.77
  5. Step 5: Solve for x
    x = 470,236,351.77/24,256.56
  6. Step 6: Final answer
    x = 19,385.95

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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.