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Finding the Fourth Proportional to 23,726.90, 35,592.78 and 8,142.50

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Solution

The fourth proportional to 23,726.90, 35,592.78 and 8,142.50 is: 12,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.90 : 35,592.78 = 8,142.50 : x
  2. Step 2: Convert to fraction form
    23,726.90/35,592.78 = 8,142.50/x
  3. Step 3: Cross multiply
    23,726.90x = 35,592.78 × 8,142.50
  4. Step 4: Simplify right side
    23,726.90x = 289,814,211.15
  5. Step 5: Solve for x
    x = 289,814,211.15/23,726.90
  6. Step 6: Final answer
    x = 12,214.58

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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.