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Finding the Fourth Proportional to 13,486.64, 18,620.28 and 9,446.22

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Solution

The fourth proportional to 13,486.64, 18,620.28 and 9,446.22 is: 13,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.64 : 18,620.28 = 9,446.22 : x
  2. Step 2: Convert to fraction form
    13,486.64/18,620.28 = 9,446.22/x
  3. Step 3: Cross multiply
    13,486.64x = 18,620.28 × 9,446.22
  4. Step 4: Simplify right side
    13,486.64x = 175,891,261.34
  5. Step 5: Solve for x
    x = 175,891,261.34/13,486.64
  6. Step 6: Final answer
    x = 13,041.89

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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.