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Finding the Fourth Proportional to 20,801.24, 31,196.24 and 9,697.08

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Solution

The fourth proportional to 20,801.24, 31,196.24 and 9,697.08 is: 14,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.24 : 31,196.24 = 9,697.08 : x
  2. Step 2: Convert to fraction form
    20,801.24/31,196.24 = 9,697.08/x
  3. Step 3: Cross multiply
    20,801.24x = 31,196.24 × 9,697.08
  4. Step 4: Simplify right side
    20,801.24x = 302,512,434.98
  5. Step 5: Solve for x
    x = 302,512,434.98/20,801.24
  6. Step 6: Final answer
    x = 14,543.00

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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.