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Finding the Fourth Proportional to 23,225.12, 34,851.52 and 8,435.20

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Solution

The fourth proportional to 23,225.12, 34,851.52 and 8,435.20 is: 12,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.12 : 34,851.52 = 8,435.20 : x
  2. Step 2: Convert to fraction form
    23,225.12/34,851.52 = 8,435.20/x
  3. Step 3: Cross multiply
    23,225.12x = 34,851.52 × 8,435.20
  4. Step 4: Simplify right side
    23,225.12x = 293,979,541.50
  5. Step 5: Solve for x
    x = 293,979,541.50/23,225.12
  6. Step 6: Final answer
    x = 12,657.83

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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.