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Finding the Fourth Proportional to 14,442, 19,930.02 and 7,818

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Solution

The fourth proportional to 14,442, 19,930.02 and 7,818 is: 10,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442 : 19,930.02 = 7,818 : x
  2. Step 2: Convert to fraction form
    14,442/19,930.02 = 7,818/x
  3. Step 3: Cross multiply
    14,442x = 19,930.02 × 7,818
  4. Step 4: Simplify right side
    14,442x = 155,812,896.36
  5. Step 5: Solve for x
    x = 155,812,896.36/14,442
  6. Step 6: Final answer
    x = 10,788.87

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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.