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Finding the Fourth Proportional to 14,964.78, 22,447.14 and 4,020.78

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Solution

The fourth proportional to 14,964.78, 22,447.14 and 4,020.78 is: 6,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.78 : 22,447.14 = 4,020.78 : x
  2. Step 2: Convert to fraction form
    14,964.78/22,447.14 = 4,020.78/x
  3. Step 3: Cross multiply
    14,964.78x = 22,447.14 × 4,020.78
  4. Step 4: Simplify right side
    14,964.78x = 90,255,011.57
  5. Step 5: Solve for x
    x = 90,255,011.57/14,964.78
  6. Step 6: Final answer
    x = 6,031.16

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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.