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Finding the Fourth Proportional to 14,744.66, 20,347.87 and 8,030.42

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Solution

The fourth proportional to 14,744.66, 20,347.87 and 8,030.42 is: 11,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.66 : 20,347.87 = 8,030.42 : x
  2. Step 2: Convert to fraction form
    14,744.66/20,347.87 = 8,030.42/x
  3. Step 3: Cross multiply
    14,744.66x = 20,347.87 × 8,030.42
  4. Step 4: Simplify right side
    14,744.66x = 163,401,865.82
  5. Step 5: Solve for x
    x = 163,401,865.82/14,744.66
  6. Step 6: Final answer
    x = 11,082.11

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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.