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Finding the Fourth Proportional to 15,106.74, 22,573.52 and 11,529.06

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Solution

The fourth proportional to 15,106.74, 22,573.52 and 11,529.06 is: 17,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.74 : 22,573.52 = 11,529.06 : x
  2. Step 2: Convert to fraction form
    15,106.74/22,573.52 = 11,529.06/x
  3. Step 3: Cross multiply
    15,106.74x = 22,573.52 × 11,529.06
  4. Step 4: Simplify right side
    15,106.74x = 260,251,408.85
  5. Step 5: Solve for x
    x = 260,251,408.85/15,106.74
  6. Step 6: Final answer
    x = 17,227.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.