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Finding the Fourth Proportional to 12,424.16, 17,142.36 and 11,428.40

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Solution

The fourth proportional to 12,424.16, 17,142.36 and 11,428.40 is: 15,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.16 : 17,142.36 = 11,428.40 : x
  2. Step 2: Convert to fraction form
    12,424.16/17,142.36 = 11,428.40/x
  3. Step 3: Cross multiply
    12,424.16x = 17,142.36 × 11,428.40
  4. Step 4: Simplify right side
    12,424.16x = 195,909,747.02
  5. Step 5: Solve for x
    x = 195,909,747.02/12,424.16
  6. Step 6: Final answer
    x = 15,768.45

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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.