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Finding the Fourth Proportional to 13,329.74, 18,388.94 and 7,737.50

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Solution

The fourth proportional to 13,329.74, 18,388.94 and 7,737.50 is: 10,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,329.74 : 18,388.94 = 7,737.50 : x
  2. Step 2: Convert to fraction form
    13,329.74/18,388.94 = 7,737.50/x
  3. Step 3: Cross multiply
    13,329.74x = 18,388.94 × 7,737.50
  4. Step 4: Simplify right side
    13,329.74x = 142,284,423.25
  5. Step 5: Solve for x
    x = 142,284,423.25/13,329.74
  6. Step 6: Final answer
    x = 10,674.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.