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Finding the Fourth Proportional to 13,566.39, 20,343.35 and 7,643.11

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Solution

The fourth proportional to 13,566.39, 20,343.35 and 7,643.11 is: 11,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.39 : 20,343.35 = 7,643.11 : x
  2. Step 2: Convert to fraction form
    13,566.39/20,343.35 = 7,643.11/x
  3. Step 3: Cross multiply
    13,566.39x = 20,343.35 × 7,643.11
  4. Step 4: Simplify right side
    13,566.39x = 155,486,468.21
  5. Step 5: Solve for x
    x = 155,486,468.21/13,566.39
  6. Step 6: Final answer
    x = 11,461.16

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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.