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Finding the Fourth Proportional to 24,705.14, 37,031.16 and 10,671.80

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Solution

The fourth proportional to 24,705.14, 37,031.16 and 10,671.80 is: 15,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.14 : 37,031.16 = 10,671.80 : x
  2. Step 2: Convert to fraction form
    24,705.14/37,031.16 = 10,671.80/x
  3. Step 3: Cross multiply
    24,705.14x = 37,031.16 × 10,671.80
  4. Step 4: Simplify right side
    24,705.14x = 395,189,133.29
  5. Step 5: Solve for x
    x = 395,189,133.29/24,705.14
  6. Step 6: Final answer
    x = 15,996.23

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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.