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Finding the Fourth Proportional to 19,229.24, 28,838.28 and 7,382.18

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Solution

The fourth proportional to 19,229.24, 28,838.28 and 7,382.18 is: 11,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.24 : 28,838.28 = 7,382.18 : x
  2. Step 2: Convert to fraction form
    19,229.24/28,838.28 = 7,382.18/x
  3. Step 3: Cross multiply
    19,229.24x = 28,838.28 × 7,382.18
  4. Step 4: Simplify right side
    19,229.24x = 212,889,373.85
  5. Step 5: Solve for x
    x = 212,889,373.85/19,229.24
  6. Step 6: Final answer
    x = 11,071.13

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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.