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Finding the Fourth Proportional to 13,323.64, 18,389.14 and 8,290.12

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Solution

The fourth proportional to 13,323.64, 18,389.14 and 8,290.12 is: 11,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.64 : 18,389.14 = 8,290.12 : x
  2. Step 2: Convert to fraction form
    13,323.64/18,389.14 = 8,290.12/x
  3. Step 3: Cross multiply
    13,323.64x = 18,389.14 × 8,290.12
  4. Step 4: Simplify right side
    13,323.64x = 152,448,177.30
  5. Step 5: Solve for x
    x = 152,448,177.30/13,323.64
  6. Step 6: Final answer
    x = 11,441.93

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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.