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Finding the Fourth Proportional to 15,259.24, 22,866.78 and 7,459.24

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Solution

The fourth proportional to 15,259.24, 22,866.78 and 7,459.24 is: 11,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,259.24 : 22,866.78 = 7,459.24 : x
  2. Step 2: Convert to fraction form
    15,259.24/22,866.78 = 7,459.24/x
  3. Step 3: Cross multiply
    15,259.24x = 22,866.78 × 7,459.24
  4. Step 4: Simplify right side
    15,259.24x = 170,568,800.05
  5. Step 5: Solve for x
    x = 170,568,800.05/15,259.24
  6. Step 6: Final answer
    x = 11,178.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.