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Finding the Fourth Proportional to 19,764.12, 29,657.86 and 7,292.86

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Solution

The fourth proportional to 19,764.12, 29,657.86 and 7,292.86 is: 10,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764.12 : 29,657.86 = 7,292.86 : x
  2. Step 2: Convert to fraction form
    19,764.12/29,657.86 = 7,292.86/x
  3. Step 3: Cross multiply
    19,764.12x = 29,657.86 × 7,292.86
  4. Step 4: Simplify right side
    19,764.12x = 216,290,528.50
  5. Step 5: Solve for x
    x = 216,290,528.50/19,764.12
  6. Step 6: Final answer
    x = 10,943.59

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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.