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Finding the Fourth Proportional to 13,942.16, 19,239.52 and 7,568.61

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Solution

The fourth proportional to 13,942.16, 19,239.52 and 7,568.61 is: 10,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.16 : 19,239.52 = 7,568.61 : x
  2. Step 2: Convert to fraction form
    13,942.16/19,239.52 = 7,568.61/x
  3. Step 3: Cross multiply
    13,942.16x = 19,239.52 × 7,568.61
  4. Step 4: Simplify right side
    13,942.16x = 145,616,423.47
  5. Step 5: Solve for x
    x = 145,616,423.47/13,942.16
  6. Step 6: Final answer
    x = 10,444.32

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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.