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Finding the Fourth Proportional to 15,174.14, 20,938.30 and 9,206.06

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Solution

The fourth proportional to 15,174.14, 20,938.30 and 9,206.06 is: 12,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.14 : 20,938.30 = 9,206.06 : x
  2. Step 2: Convert to fraction form
    15,174.14/20,938.30 = 9,206.06/x
  3. Step 3: Cross multiply
    15,174.14x = 20,938.30 × 9,206.06
  4. Step 4: Simplify right side
    15,174.14x = 192,759,118.39
  5. Step 5: Solve for x
    x = 192,759,118.39/15,174.14
  6. Step 6: Final answer
    x = 12,703.14

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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.