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Finding the Fourth Proportional to 20,897.22, 31,323.78 and 6,853.58

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Solution

The fourth proportional to 20,897.22, 31,323.78 and 6,853.58 is: 10,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.22 : 31,323.78 = 6,853.58 : x
  2. Step 2: Convert to fraction form
    20,897.22/31,323.78 = 6,853.58/x
  3. Step 3: Cross multiply
    20,897.22x = 31,323.78 × 6,853.58
  4. Step 4: Simplify right side
    20,897.22x = 214,679,875.51
  5. Step 5: Solve for x
    x = 214,679,875.51/20,897.22
  6. Step 6: Final answer
    x = 10,273.13

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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.