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Finding the Fourth Proportional to 21,000.67, 31,426.97 and 13,106.88

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Solution

The fourth proportional to 21,000.67, 31,426.97 and 13,106.88 is: 19,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.67 : 31,426.97 = 13,106.88 : x
  2. Step 2: Convert to fraction form
    21,000.67/31,426.97 = 13,106.88/x
  3. Step 3: Cross multiply
    21,000.67x = 31,426.97 × 13,106.88
  4. Step 4: Simplify right side
    21,000.67x = 411,909,570.35
  5. Step 5: Solve for x
    x = 411,909,570.35/21,000.67
  6. Step 6: Final answer
    x = 19,614.12

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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.