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Finding the Fourth Proportional to 12,357.26, 18,543.51 and 4,859.50

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Solution

The fourth proportional to 12,357.26, 18,543.51 and 4,859.50 is: 7,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.26 : 18,543.51 = 4,859.50 : x
  2. Step 2: Convert to fraction form
    12,357.26/18,543.51 = 4,859.50/x
  3. Step 3: Cross multiply
    12,357.26x = 18,543.51 × 4,859.50
  4. Step 4: Simplify right side
    12,357.26x = 90,112,186.85
  5. Step 5: Solve for x
    x = 90,112,186.85/12,357.26
  6. Step 6: Final answer
    x = 7,292.25

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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.