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Finding the Fourth Proportional to 15,174, 22,661.37 and 13,098.24

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Solution

The fourth proportional to 15,174, 22,661.37 and 13,098.24 is: 19,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174 : 22,661.37 = 13,098.24 : x
  2. Step 2: Convert to fraction form
    15,174/22,661.37 = 13,098.24/x
  3. Step 3: Cross multiply
    15,174x = 22,661.37 × 13,098.24
  4. Step 4: Simplify right side
    15,174x = 296,824,062.99
  5. Step 5: Solve for x
    x = 296,824,062.99/15,174
  6. Step 6: Final answer
    x = 19,561.36

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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.