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Finding the Fourth Proportional to 19,347.26, 28,993.52 and 8,242.77

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Solution

The fourth proportional to 19,347.26, 28,993.52 and 8,242.77 is: 12,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347.26 : 28,993.52 = 8,242.77 : x
  2. Step 2: Convert to fraction form
    19,347.26/28,993.52 = 8,242.77/x
  3. Step 3: Cross multiply
    19,347.26x = 28,993.52 × 8,242.77
  4. Step 4: Simplify right side
    19,347.26x = 238,986,937.46
  5. Step 5: Solve for x
    x = 238,986,937.46/19,347.26
  6. Step 6: Final answer
    x = 12,352.49

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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.