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Finding the Fourth Proportional to 23,326.53, 34,978.46 and 8,525.40

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Solution

The fourth proportional to 23,326.53, 34,978.46 and 8,525.40 is: 12,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,326.53 : 34,978.46 = 8,525.40 : x
  2. Step 2: Convert to fraction form
    23,326.53/34,978.46 = 8,525.40/x
  3. Step 3: Cross multiply
    23,326.53x = 34,978.46 × 8,525.40
  4. Step 4: Simplify right side
    23,326.53x = 298,205,320.26
  5. Step 5: Solve for x
    x = 298,205,320.26/23,326.53
  6. Step 6: Final answer
    x = 12,783.96

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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.