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Finding the Fourth Proportional to 24,233.10, 36,349.65 and 6,701.46

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Solution

The fourth proportional to 24,233.10, 36,349.65 and 6,701.46 is: 10,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,233.10 : 36,349.65 = 6,701.46 : x
  2. Step 2: Convert to fraction form
    24,233.10/36,349.65 = 6,701.46/x
  3. Step 3: Cross multiply
    24,233.10x = 36,349.65 × 6,701.46
  4. Step 4: Simplify right side
    24,233.10x = 243,595,725.49
  5. Step 5: Solve for x
    x = 243,595,725.49/24,233.10
  6. Step 6: Final answer
    x = 10,052.19

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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.