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Finding the Fourth Proportional to 15,069.78, 22,599 and 5,206.68

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Solution

The fourth proportional to 15,069.78, 22,599 and 5,206.68 is: 7,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,069.78 : 22,599 = 5,206.68 : x
  2. Step 2: Convert to fraction form
    15,069.78/22,599 = 5,206.68/x
  3. Step 3: Cross multiply
    15,069.78x = 22,599 × 5,206.68
  4. Step 4: Simplify right side
    15,069.78x = 117,665,761.32
  5. Step 5: Solve for x
    x = 117,665,761.32/15,069.78
  6. Step 6: Final answer
    x = 7,808.06

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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.