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Finding the Fourth Proportional to 20,899.84, 31,334.40 and 10,501.12

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Solution

The fourth proportional to 20,899.84, 31,334.40 and 10,501.12 is: 15,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899.84 : 31,334.40 = 10,501.12 : x
  2. Step 2: Convert to fraction form
    20,899.84/31,334.40 = 10,501.12/x
  3. Step 3: Cross multiply
    20,899.84x = 31,334.40 × 10,501.12
  4. Step 4: Simplify right side
    20,899.84x = 329,046,294.53
  5. Step 5: Solve for x
    x = 329,046,294.53/20,899.84
  6. Step 6: Final answer
    x = 15,743.96

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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.