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Finding the Fourth Proportional to 23,334.57, 35,006.82 and 7,540.50

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Solution

The fourth proportional to 23,334.57, 35,006.82 and 7,540.50 is: 11,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334.57 : 35,006.82 = 7,540.50 : x
  2. Step 2: Convert to fraction form
    23,334.57/35,006.82 = 7,540.50/x
  3. Step 3: Cross multiply
    23,334.57x = 35,006.82 × 7,540.50
  4. Step 4: Simplify right side
    23,334.57x = 263,968,926.21
  5. Step 5: Solve for x
    x = 263,968,926.21/23,334.57
  6. Step 6: Final answer
    x = 11,312.35

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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.