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Finding the Fourth Proportional to 23,113.98, 34,667.19 and 10,633.50

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Solution

The fourth proportional to 23,113.98, 34,667.19 and 10,633.50 is: 15,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.98 : 34,667.19 = 10,633.50 : x
  2. Step 2: Convert to fraction form
    23,113.98/34,667.19 = 10,633.50/x
  3. Step 3: Cross multiply
    23,113.98x = 34,667.19 × 10,633.50
  4. Step 4: Simplify right side
    23,113.98x = 368,633,564.87
  5. Step 5: Solve for x
    x = 368,633,564.87/23,113.98
  6. Step 6: Final answer
    x = 15,948.51

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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.