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Finding the Fourth Proportional to 23,614, 35,427.08 and 8,823.02

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Solution

The fourth proportional to 23,614, 35,427.08 and 8,823.02 is: 13,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614 : 35,427.08 = 8,823.02 : x
  2. Step 2: Convert to fraction form
    23,614/35,427.08 = 8,823.02/x
  3. Step 3: Cross multiply
    23,614x = 35,427.08 × 8,823.02
  4. Step 4: Simplify right side
    23,614x = 312,573,835.38
  5. Step 5: Solve for x
    x = 312,573,835.38/23,614
  6. Step 6: Final answer
    x = 13,236.80

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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.