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Finding the Fourth Proportional to 13,420.47, 18,518.90 and 7,834.71

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Solution

The fourth proportional to 13,420.47, 18,518.90 and 7,834.71 is: 10,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.47 : 18,518.90 = 7,834.71 : x
  2. Step 2: Convert to fraction form
    13,420.47/18,518.90 = 7,834.71/x
  3. Step 3: Cross multiply
    13,420.47x = 18,518.90 × 7,834.71
  4. Step 4: Simplify right side
    13,420.47x = 145,090,171.85
  5. Step 5: Solve for x
    x = 145,090,171.85/13,420.47
  6. Step 6: Final answer
    x = 10,811.11

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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.