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Finding the Fourth Proportional to 12,923.60, 17,834.73 and 7,618.10

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Solution

The fourth proportional to 12,923.60, 17,834.73 and 7,618.10 is: 10,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.60 : 17,834.73 = 7,618.10 : x
  2. Step 2: Convert to fraction form
    12,923.60/17,834.73 = 7,618.10/x
  3. Step 3: Cross multiply
    12,923.60x = 17,834.73 × 7,618.10
  4. Step 4: Simplify right side
    12,923.60x = 135,866,756.61
  5. Step 5: Solve for x
    x = 135,866,756.61/12,923.60
  6. Step 6: Final answer
    x = 10,513.07

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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.