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Finding the Fourth Proportional to 14,582.84, 20,101.16 and 11,039.90

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Solution

The fourth proportional to 14,582.84, 20,101.16 and 11,039.90 is: 15,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.84 : 20,101.16 = 11,039.90 : x
  2. Step 2: Convert to fraction form
    14,582.84/20,101.16 = 11,039.90/x
  3. Step 3: Cross multiply
    14,582.84x = 20,101.16 × 11,039.90
  4. Step 4: Simplify right side
    14,582.84x = 221,914,723.38
  5. Step 5: Solve for x
    x = 221,914,723.38/14,582.84
  6. Step 6: Final answer
    x = 15,217.53

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Why These Related Problems?

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