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Finding the Fourth Proportional to 15,491.67, 21,381.63 and 9,202.83

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Solution

The fourth proportional to 15,491.67, 21,381.63 and 9,202.83 is: 12,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.67 : 21,381.63 = 9,202.83 : x
  2. Step 2: Convert to fraction form
    15,491.67/21,381.63 = 9,202.83/x
  3. Step 3: Cross multiply
    15,491.67x = 21,381.63 × 9,202.83
  4. Step 4: Simplify right side
    15,491.67x = 196,771,506.01
  5. Step 5: Solve for x
    x = 196,771,506.01/15,491.67
  6. Step 6: Final answer
    x = 12,701.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.