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Finding the Fourth Proportional to 26,823.68, 37,013.52 and 14,884.16

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Solution

The fourth proportional to 26,823.68, 37,013.52 and 14,884.16 is: 20,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823.68 : 37,013.52 = 14,884.16 : x
  2. Step 2: Convert to fraction form
    26,823.68/37,013.52 = 14,884.16/x
  3. Step 3: Cross multiply
    26,823.68x = 37,013.52 × 14,884.16
  4. Step 4: Simplify right side
    26,823.68x = 550,915,153.84
  5. Step 5: Solve for x
    x = 550,915,153.84/26,823.68
  6. Step 6: Final answer
    x = 20,538.39

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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.