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Finding the Fourth Proportional to 13,146.14, 19,712.34 and 4,824.02

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Solution

The fourth proportional to 13,146.14, 19,712.34 and 4,824.02 is: 7,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.14 : 19,712.34 = 4,824.02 : x
  2. Step 2: Convert to fraction form
    13,146.14/19,712.34 = 4,824.02/x
  3. Step 3: Cross multiply
    13,146.14x = 19,712.34 × 4,824.02
  4. Step 4: Simplify right side
    13,146.14x = 95,092,722.41
  5. Step 5: Solve for x
    x = 95,092,722.41/13,146.14
  6. Step 6: Final answer
    x = 7,233.51

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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.