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Finding the Fourth Proportional to 15,125.76, 22,668.93 and 7,723.98

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Solution

The fourth proportional to 15,125.76, 22,668.93 and 7,723.98 is: 11,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,125.76 : 22,668.93 = 7,723.98 : x
  2. Step 2: Convert to fraction form
    15,125.76/22,668.93 = 7,723.98/x
  3. Step 3: Cross multiply
    15,125.76x = 22,668.93 × 7,723.98
  4. Step 4: Simplify right side
    15,125.76x = 175,094,361.94
  5. Step 5: Solve for x
    x = 175,094,361.94/15,125.76
  6. Step 6: Final answer
    x = 11,575.91

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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.