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Finding the Fourth Proportional to 24,845.76, 34,283.52 and 14,233.68

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Solution

The fourth proportional to 24,845.76, 34,283.52 and 14,233.68 is: 19,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,845.76 : 34,283.52 = 14,233.68 : x
  2. Step 2: Convert to fraction form
    24,845.76/34,283.52 = 14,233.68/x
  3. Step 3: Cross multiply
    24,845.76x = 34,283.52 × 14,233.68
  4. Step 4: Simplify right side
    24,845.76x = 487,980,652.95
  5. Step 5: Solve for x
    x = 487,980,652.95/24,845.76
  6. Step 6: Final answer
    x = 19,640.40

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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.