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Finding the Fourth Proportional to 13,772.49, 20,661.76 and 5,007.39

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Solution

The fourth proportional to 13,772.49, 20,661.76 and 5,007.39 is: 7,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.49 : 20,661.76 = 5,007.39 : x
  2. Step 2: Convert to fraction form
    13,772.49/20,661.76 = 5,007.39/x
  3. Step 3: Cross multiply
    13,772.49x = 20,661.76 × 5,007.39
  4. Step 4: Simplify right side
    13,772.49x = 103,461,490.41
  5. Step 5: Solve for x
    x = 103,461,490.41/13,772.49
  6. Step 6: Final answer
    x = 7,512.18

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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.