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Finding the Fourth Proportional to 19,497.96, 29,250 and 8,407.80

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Solution

The fourth proportional to 19,497.96, 29,250 and 8,407.80 is: 12,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.96 : 29,250 = 8,407.80 : x
  2. Step 2: Convert to fraction form
    19,497.96/29,250 = 8,407.80/x
  3. Step 3: Cross multiply
    19,497.96x = 29,250 × 8,407.80
  4. Step 4: Simplify right side
    19,497.96x = 245,928,150.00
  5. Step 5: Solve for x
    x = 245,928,150.00/19,497.96
  6. Step 6: Final answer
    x = 12,613.02

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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.