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Finding the Fourth Proportional to 17,762.40, 26,637.82 and 5,913.66

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Solution

The fourth proportional to 17,762.40, 26,637.82 and 5,913.66 is: 8,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.40 : 26,637.82 = 5,913.66 : x
  2. Step 2: Convert to fraction form
    17,762.40/26,637.82 = 5,913.66/x
  3. Step 3: Cross multiply
    17,762.40x = 26,637.82 × 5,913.66
  4. Step 4: Simplify right side
    17,762.40x = 157,527,010.62
  5. Step 5: Solve for x
    x = 157,527,010.62/17,762.40
  6. Step 6: Final answer
    x = 8,868.57

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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.