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Finding the Fourth Proportional to 20,901.59, 31,353.43 and 6,855.93

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Solution

The fourth proportional to 20,901.59, 31,353.43 and 6,855.93 is: 10,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.59 : 31,353.43 = 6,855.93 : x
  2. Step 2: Convert to fraction form
    20,901.59/31,353.43 = 6,855.93/x
  3. Step 3: Cross multiply
    20,901.59x = 31,353.43 × 6,855.93
  4. Step 4: Simplify right side
    20,901.59x = 214,956,887.06
  5. Step 5: Solve for x
    x = 214,956,887.06/20,901.59
  6. Step 6: Final answer
    x = 10,284.24

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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.