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Finding the Fourth Proportional to 13,071.76, 19,490.42 and 12,838.48

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Solution

The fourth proportional to 13,071.76, 19,490.42 and 12,838.48 is: 19,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.76 : 19,490.42 = 12,838.48 : x
  2. Step 2: Convert to fraction form
    13,071.76/19,490.42 = 12,838.48/x
  3. Step 3: Cross multiply
    13,071.76x = 19,490.42 × 12,838.48
  4. Step 4: Simplify right side
    13,071.76x = 250,227,367.36
  5. Step 5: Solve for x
    x = 250,227,367.36/13,071.76
  6. Step 6: Final answer
    x = 19,142.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.