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Finding the Fourth Proportional to 23,184.56, 34,795.02 and 8,407.70

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Solution

The fourth proportional to 23,184.56, 34,795.02 and 8,407.70 is: 12,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.56 : 34,795.02 = 8,407.70 : x
  2. Step 2: Convert to fraction form
    23,184.56/34,795.02 = 8,407.70/x
  3. Step 3: Cross multiply
    23,184.56x = 34,795.02 × 8,407.70
  4. Step 4: Simplify right side
    23,184.56x = 292,546,089.65
  5. Step 5: Solve for x
    x = 292,546,089.65/23,184.56
  6. Step 6: Final answer
    x = 12,618.14

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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.