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Finding the Fourth Proportional to 13,034.13, 19,553.93 and 5,639.64

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Solution

The fourth proportional to 13,034.13, 19,553.93 and 5,639.64 is: 8,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.13 : 19,553.93 = 5,639.64 : x
  2. Step 2: Convert to fraction form
    13,034.13/19,553.93 = 5,639.64/x
  3. Step 3: Cross multiply
    13,034.13x = 19,553.93 × 5,639.64
  4. Step 4: Simplify right side
    13,034.13x = 110,277,045.41
  5. Step 5: Solve for x
    x = 110,277,045.41/13,034.13
  6. Step 6: Final answer
    x = 8,460.64

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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.