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Finding the Fourth Proportional to 15,092.90, 20,824.98 and 9,123.38

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Solution

The fourth proportional to 15,092.90, 20,824.98 and 9,123.38 is: 12,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.90 : 20,824.98 = 9,123.38 : x
  2. Step 2: Convert to fraction form
    15,092.90/20,824.98 = 9,123.38/x
  3. Step 3: Cross multiply
    15,092.90x = 20,824.98 × 9,123.38
  4. Step 4: Simplify right side
    15,092.90x = 189,994,206.03
  5. Step 5: Solve for x
    x = 189,994,206.03/15,092.90
  6. Step 6: Final answer
    x = 12,588.32

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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.