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Finding the Fourth Proportional to 15,836.49, 21,855.12 and 9,123.15

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Solution

The fourth proportional to 15,836.49, 21,855.12 and 9,123.15 is: 12,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.49 : 21,855.12 = 9,123.15 : x
  2. Step 2: Convert to fraction form
    15,836.49/21,855.12 = 9,123.15/x
  3. Step 3: Cross multiply
    15,836.49x = 21,855.12 × 9,123.15
  4. Step 4: Simplify right side
    15,836.49x = 199,387,538.03
  5. Step 5: Solve for x
    x = 199,387,538.03/15,836.49
  6. Step 6: Final answer
    x = 12,590.39

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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.