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Finding the Fourth Proportional to 17,897.96, 26,846.91 and 7,509.71

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Solution

The fourth proportional to 17,897.96, 26,846.91 and 7,509.71 is: 11,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.96 : 26,846.91 = 7,509.71 : x
  2. Step 2: Convert to fraction form
    17,897.96/26,846.91 = 7,509.71/x
  3. Step 3: Cross multiply
    17,897.96x = 26,846.91 × 7,509.71
  4. Step 4: Simplify right side
    17,897.96x = 201,612,508.50
  5. Step 5: Solve for x
    x = 201,612,508.50/17,897.96
  6. Step 6: Final answer
    x = 11,264.55

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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.