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Finding the Fourth Proportional to 19,498.92, 26,907.30 and 11,002.38

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Solution

The fourth proportional to 19,498.92, 26,907.30 and 11,002.38 is: 15,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.92 : 26,907.30 = 11,002.38 : x
  2. Step 2: Convert to fraction form
    19,498.92/26,907.30 = 11,002.38/x
  3. Step 3: Cross multiply
    19,498.92x = 26,907.30 × 11,002.38
  4. Step 4: Simplify right side
    19,498.92x = 296,044,339.37
  5. Step 5: Solve for x
    x = 296,044,339.37/19,498.92
  6. Step 6: Final answer
    x = 15,182.60

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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.