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Finding the Fourth Proportional to 23,446.47, 32,356.50 and 12,837.09

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Solution

The fourth proportional to 23,446.47, 32,356.50 and 12,837.09 is: 17,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.47 : 32,356.50 = 12,837.09 : x
  2. Step 2: Convert to fraction form
    23,446.47/32,356.50 = 12,837.09/x
  3. Step 3: Cross multiply
    23,446.47x = 32,356.50 × 12,837.09
  4. Step 4: Simplify right side
    23,446.47x = 415,363,302.59
  5. Step 5: Solve for x
    x = 415,363,302.59/23,446.47
  6. Step 6: Final answer
    x = 17,715.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.