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Finding the Fourth Proportional to 17,897.40, 26,834.25 and 8,538.86

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Solution

The fourth proportional to 17,897.40, 26,834.25 and 8,538.86 is: 12,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.40 : 26,834.25 = 8,538.86 : x
  2. Step 2: Convert to fraction form
    17,897.40/26,834.25 = 8,538.86/x
  3. Step 3: Cross multiply
    17,897.40x = 26,834.25 × 8,538.86
  4. Step 4: Simplify right side
    17,897.40x = 229,133,939.02
  5. Step 5: Solve for x
    x = 229,133,939.02/17,897.40
  6. Step 6: Final answer
    x = 12,802.64

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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.