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Finding the Fourth Proportional to 24,232.60, 33,444.48 and 15,760

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Solution

The fourth proportional to 24,232.60, 33,444.48 and 15,760 is: 21,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.60 : 33,444.48 = 15,760 : x
  2. Step 2: Convert to fraction form
    24,232.60/33,444.48 = 15,760/x
  3. Step 3: Cross multiply
    24,232.60x = 33,444.48 × 15,760
  4. Step 4: Simplify right side
    24,232.60x = 527,085,004.80
  5. Step 5: Solve for x
    x = 527,085,004.80/24,232.60
  6. Step 6: Final answer
    x = 21,751.07

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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.