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Finding the Fourth Proportional to 20,897.01, 31,323.51 and 6,853.38

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Solution

The fourth proportional to 20,897.01, 31,323.51 and 6,853.38 is: 10,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.01 : 31,323.51 = 6,853.38 : x
  2. Step 2: Convert to fraction form
    20,897.01/31,323.51 = 6,853.38/x
  3. Step 3: Cross multiply
    20,897.01x = 31,323.51 × 6,853.38
  4. Step 4: Simplify right side
    20,897.01x = 214,671,916.96
  5. Step 5: Solve for x
    x = 214,671,916.96/20,897.01
  6. Step 6: Final answer
    x = 10,272.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.