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Finding the Fourth Proportional to 23,588, 35,381.24 and 8,005.76

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Solution

The fourth proportional to 23,588, 35,381.24 and 8,005.76 is: 12,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588 : 35,381.24 = 8,005.76 : x
  2. Step 2: Convert to fraction form
    23,588/35,381.24 = 8,005.76/x
  3. Step 3: Cross multiply
    23,588x = 35,381.24 × 8,005.76
  4. Step 4: Simplify right side
    23,588x = 283,253,715.94
  5. Step 5: Solve for x
    x = 283,253,715.94/23,588
  6. Step 6: Final answer
    x = 12,008.38

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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.