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Finding the Fourth Proportional to 24,193.72, 36,304.59 and 10,152.50

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Solution

The fourth proportional to 24,193.72, 36,304.59 and 10,152.50 is: 15,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.72 : 36,304.59 = 10,152.50 : x
  2. Step 2: Convert to fraction form
    24,193.72/36,304.59 = 10,152.50/x
  3. Step 3: Cross multiply
    24,193.72x = 36,304.59 × 10,152.50
  4. Step 4: Simplify right side
    24,193.72x = 368,582,299.21
  5. Step 5: Solve for x
    x = 368,582,299.21/24,193.72
  6. Step 6: Final answer
    x = 15,234.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.