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Finding the Fourth Proportional to 24,276, 36,428.15 and 10,235.16

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Solution

The fourth proportional to 24,276, 36,428.15 and 10,235.16 is: 15,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276 : 36,428.15 = 10,235.16 : x
  2. Step 2: Convert to fraction form
    24,276/36,428.15 = 10,235.16/x
  3. Step 3: Cross multiply
    24,276x = 36,428.15 × 10,235.16
  4. Step 4: Simplify right side
    24,276x = 372,847,943.75
  5. Step 5: Solve for x
    x = 372,847,943.75/24,276
  6. Step 6: Final answer
    x = 15,358.71

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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.