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Finding the Fourth Proportional to 15,246.48, 22,855.87 and 6,922.01

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Solution

The fourth proportional to 15,246.48, 22,855.87 and 6,922.01 is: 10,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.48 : 22,855.87 = 6,922.01 : x
  2. Step 2: Convert to fraction form
    15,246.48/22,855.87 = 6,922.01/x
  3. Step 3: Cross multiply
    15,246.48x = 22,855.87 × 6,922.01
  4. Step 4: Simplify right side
    15,246.48x = 158,208,497.93
  5. Step 5: Solve for x
    x = 158,208,497.93/15,246.48
  6. Step 6: Final answer
    x = 10,376.72

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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.