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Finding the Fourth Proportional to 14,600.82, 20,128.05 and 10,401.78

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Solution

The fourth proportional to 14,600.82, 20,128.05 and 10,401.78 is: 14,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.82 : 20,128.05 = 10,401.78 : x
  2. Step 2: Convert to fraction form
    14,600.82/20,128.05 = 10,401.78/x
  3. Step 3: Cross multiply
    14,600.82x = 20,128.05 × 10,401.78
  4. Step 4: Simplify right side
    14,600.82x = 209,367,547.93
  5. Step 5: Solve for x
    x = 209,367,547.93/14,600.82
  6. Step 6: Final answer
    x = 14,339.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.