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Finding the Fourth Proportional to 24,166.92, 36,256.14 and 10,317

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Solution

The fourth proportional to 24,166.92, 36,256.14 and 10,317 is: 15,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,166.92 : 36,256.14 = 10,317 : x
  2. Step 2: Convert to fraction form
    24,166.92/36,256.14 = 10,317/x
  3. Step 3: Cross multiply
    24,166.92x = 36,256.14 × 10,317
  4. Step 4: Simplify right side
    24,166.92x = 374,054,596.38
  5. Step 5: Solve for x
    x = 374,054,596.38/24,166.92
  6. Step 6: Final answer
    x = 15,477.96

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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.