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Finding the Fourth Proportional to 14,070.73, 21,082.73 and 9,902.02

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Solution

The fourth proportional to 14,070.73, 21,082.73 and 9,902.02 is: 14,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.73 : 21,082.73 = 9,902.02 : x
  2. Step 2: Convert to fraction form
    14,070.73/21,082.73 = 9,902.02/x
  3. Step 3: Cross multiply
    14,070.73x = 21,082.73 × 9,902.02
  4. Step 4: Simplify right side
    14,070.73x = 208,761,614.11
  5. Step 5: Solve for x
    x = 208,761,614.11/14,070.73
  6. Step 6: Final answer
    x = 14,836.59

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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.