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Finding the Fourth Proportional to 23,191.26, 34,784.06 and 9,869.63

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Solution

The fourth proportional to 23,191.26, 34,784.06 and 9,869.63 is: 14,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.26 : 34,784.06 = 9,869.63 : x
  2. Step 2: Convert to fraction form
    23,191.26/34,784.06 = 9,869.63/x
  3. Step 3: Cross multiply
    23,191.26x = 34,784.06 × 9,869.63
  4. Step 4: Simplify right side
    23,191.26x = 343,305,603.50
  5. Step 5: Solve for x
    x = 343,305,603.50/23,191.26
  6. Step 6: Final answer
    x = 14,803.23

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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.