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Finding the Fourth Proportional to 15,991.24, 23,826.08 and 15,097

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Solution

The fourth proportional to 15,991.24, 23,826.08 and 15,097 is: 22,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.24 : 23,826.08 = 15,097 : x
  2. Step 2: Convert to fraction form
    15,991.24/23,826.08 = 15,097/x
  3. Step 3: Cross multiply
    15,991.24x = 23,826.08 × 15,097
  4. Step 4: Simplify right side
    15,991.24x = 359,702,329.76
  5. Step 5: Solve for x
    x = 359,702,329.76/15,991.24
  6. Step 6: Final answer
    x = 22,493.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.