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Finding the Fourth Proportional to 17,784.50, 26,691.71 and 8,897.16

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Solution

The fourth proportional to 17,784.50, 26,691.71 and 8,897.16 is: 13,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.50 : 26,691.71 = 8,897.16 : x
  2. Step 2: Convert to fraction form
    17,784.50/26,691.71 = 8,897.16/x
  3. Step 3: Cross multiply
    17,784.50x = 26,691.71 × 8,897.16
  4. Step 4: Simplify right side
    17,784.50x = 237,480,370.06
  5. Step 5: Solve for x
    x = 237,480,370.06/17,784.50
  6. Step 6: Final answer
    x = 13,353.23

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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.