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Finding the Fourth Proportional to 13,243.13, 19,838.71 and 7,684.81

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Solution

The fourth proportional to 13,243.13, 19,838.71 and 7,684.81 is: 11,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.13 : 19,838.71 = 7,684.81 : x
  2. Step 2: Convert to fraction form
    13,243.13/19,838.71 = 7,684.81/x
  3. Step 3: Cross multiply
    13,243.13x = 19,838.71 × 7,684.81
  4. Step 4: Simplify right side
    13,243.13x = 152,456,677.00
  5. Step 5: Solve for x
    x = 152,456,677.00/13,243.13
  6. Step 6: Final answer
    x = 11,512.13

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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.