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Finding the Fourth Proportional to 15,178.76, 22,649.41 and 13,602.70

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Solution

The fourth proportional to 15,178.76, 22,649.41 and 13,602.70 is: 20,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.76 : 22,649.41 = 13,602.70 : x
  2. Step 2: Convert to fraction form
    15,178.76/22,649.41 = 13,602.70/x
  3. Step 3: Cross multiply
    15,178.76x = 22,649.41 × 13,602.70
  4. Step 4: Simplify right side
    15,178.76x = 308,093,129.41
  5. Step 5: Solve for x
    x = 308,093,129.41/15,178.76
  6. Step 6: Final answer
    x = 20,297.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.