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Finding the Fourth Proportional to 15,367.88, 23,057.28 and 7,582.16

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Solution

The fourth proportional to 15,367.88, 23,057.28 and 7,582.16 is: 11,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,367.88 : 23,057.28 = 7,582.16 : x
  2. Step 2: Convert to fraction form
    15,367.88/23,057.28 = 7,582.16/x
  3. Step 3: Cross multiply
    15,367.88x = 23,057.28 × 7,582.16
  4. Step 4: Simplify right side
    15,367.88x = 174,823,870.84
  5. Step 5: Solve for x
    x = 174,823,870.84/15,367.88
  6. Step 6: Final answer
    x = 11,375.93

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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.