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Finding the Fourth Proportional to 12,543.98, 17,307.92 and 7,237.67

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Solution

The fourth proportional to 12,543.98, 17,307.92 and 7,237.67 is: 9,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.98 : 17,307.92 = 7,237.67 : x
  2. Step 2: Convert to fraction form
    12,543.98/17,307.92 = 7,237.67/x
  3. Step 3: Cross multiply
    12,543.98x = 17,307.92 × 7,237.67
  4. Step 4: Simplify right side
    12,543.98x = 125,268,944.90
  5. Step 5: Solve for x
    x = 125,268,944.90/12,543.98
  6. Step 6: Final answer
    x = 9,986.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.