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Finding the Fourth Proportional to 13,904.26, 19,188.14 and 7,616.24

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Solution

The fourth proportional to 13,904.26, 19,188.14 and 7,616.24 is: 10,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.26 : 19,188.14 = 7,616.24 : x
  2. Step 2: Convert to fraction form
    13,904.26/19,188.14 = 7,616.24/x
  3. Step 3: Cross multiply
    13,904.26x = 19,188.14 × 7,616.24
  4. Step 4: Simplify right side
    13,904.26x = 146,141,479.39
  5. Step 5: Solve for x
    x = 146,141,479.39/13,904.26
  6. Step 6: Final answer
    x = 10,510.55

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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.