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Finding the Fourth Proportional to 12,990.84, 17,927.44 and 7,022.50

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Solution

The fourth proportional to 12,990.84, 17,927.44 and 7,022.50 is: 9,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.84 : 17,927.44 = 7,022.50 : x
  2. Step 2: Convert to fraction form
    12,990.84/17,927.44 = 7,022.50/x
  3. Step 3: Cross multiply
    12,990.84x = 17,927.44 × 7,022.50
  4. Step 4: Simplify right side
    12,990.84x = 125,895,447.40
  5. Step 5: Solve for x
    x = 125,895,447.40/12,990.84
  6. Step 6: Final answer
    x = 9,691.09

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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.