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Finding the Fourth Proportional to 15,259.74, 22,856.94 and 11,520.78

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Solution

The fourth proportional to 15,259.74, 22,856.94 and 11,520.78 is: 17,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,259.74 : 22,856.94 = 11,520.78 : x
  2. Step 2: Convert to fraction form
    15,259.74/22,856.94 = 11,520.78/x
  3. Step 3: Cross multiply
    15,259.74x = 22,856.94 × 11,520.78
  4. Step 4: Simplify right side
    15,259.74x = 263,329,777.21
  5. Step 5: Solve for x
    x = 263,329,777.21/15,259.74
  6. Step 6: Final answer
    x = 17,256.50

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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.