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Finding the Fourth Proportional to 19,838.44, 29,726.88 and 11,497.76

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Solution

The fourth proportional to 19,838.44, 29,726.88 and 11,497.76 is: 17,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.44 : 29,726.88 = 11,497.76 : x
  2. Step 2: Convert to fraction form
    19,838.44/29,726.88 = 11,497.76/x
  3. Step 3: Cross multiply
    19,838.44x = 29,726.88 × 11,497.76
  4. Step 4: Simplify right side
    19,838.44x = 341,792,531.79
  5. Step 5: Solve for x
    x = 341,792,531.79/19,838.44
  6. Step 6: Final answer
    x = 17,228.81

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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.