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Finding the Fourth Proportional to 15,771.39, 23,655.06 and 7,340.91

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Solution

The fourth proportional to 15,771.39, 23,655.06 and 7,340.91 is: 11,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.39 : 23,655.06 = 7,340.91 : x
  2. Step 2: Convert to fraction form
    15,771.39/23,655.06 = 7,340.91/x
  3. Step 3: Cross multiply
    15,771.39x = 23,655.06 × 7,340.91
  4. Step 4: Simplify right side
    15,771.39x = 173,649,666.50
  5. Step 5: Solve for x
    x = 173,649,666.50/15,771.39
  6. Step 6: Final answer
    x = 11,010.42

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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.