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Finding the Fourth Proportional to 15,340.34, 22,976.78 and 12,677.67

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Solution

The fourth proportional to 15,340.34, 22,976.78 and 12,677.67 is: 18,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340.34 : 22,976.78 = 12,677.67 : x
  2. Step 2: Convert to fraction form
    15,340.34/22,976.78 = 12,677.67/x
  3. Step 3: Cross multiply
    15,340.34x = 22,976.78 × 12,677.67
  4. Step 4: Simplify right side
    15,340.34x = 291,292,034.50
  5. Step 5: Solve for x
    x = 291,292,034.50/15,340.34
  6. Step 6: Final answer
    x = 18,988.63

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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.