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Finding the Fourth Proportional to 20,681.40, 31,030.20 and 8,199.30

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Solution

The fourth proportional to 20,681.40, 31,030.20 and 8,199.30 is: 12,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,681.40 : 31,030.20 = 8,199.30 : x
  2. Step 2: Convert to fraction form
    20,681.40/31,030.20 = 8,199.30/x
  3. Step 3: Cross multiply
    20,681.40x = 31,030.20 × 8,199.30
  4. Step 4: Simplify right side
    20,681.40x = 254,425,918.86
  5. Step 5: Solve for x
    x = 254,425,918.86/20,681.40
  6. Step 6: Final answer
    x = 12,302.16

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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.