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Finding the Fourth Proportional to 15,197.40, 22,804 and 11,498.54

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Solution

The fourth proportional to 15,197.40, 22,804 and 11,498.54 is: 17,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.40 : 22,804 = 11,498.54 : x
  2. Step 2: Convert to fraction form
    15,197.40/22,804 = 11,498.54/x
  3. Step 3: Cross multiply
    15,197.40x = 22,804 × 11,498.54
  4. Step 4: Simplify right side
    15,197.40x = 262,212,706.16
  5. Step 5: Solve for x
    x = 262,212,706.16/15,197.40
  6. Step 6: Final answer
    x = 17,253.79

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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.