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Finding the Fourth Proportional to 23,770.44, 35,639.04 and 10,437

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Solution

The fourth proportional to 23,770.44, 35,639.04 and 10,437 is: 15,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.44 : 35,639.04 = 10,437 : x
  2. Step 2: Convert to fraction form
    23,770.44/35,639.04 = 10,437/x
  3. Step 3: Cross multiply
    23,770.44x = 35,639.04 × 10,437
  4. Step 4: Simplify right side
    23,770.44x = 371,964,660.48
  5. Step 5: Solve for x
    x = 371,964,660.48/23,770.44
  6. Step 6: Final answer
    x = 15,648.20

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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.