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Finding the Fourth Proportional to 12,301.61, 18,450.35 and 3,534.47

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Solution

The fourth proportional to 12,301.61, 18,450.35 and 3,534.47 is: 5,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.61 : 18,450.35 = 3,534.47 : x
  2. Step 2: Convert to fraction form
    12,301.61/18,450.35 = 3,534.47/x
  3. Step 3: Cross multiply
    12,301.61x = 18,450.35 × 3,534.47
  4. Step 4: Simplify right side
    12,301.61x = 65,212,181.08
  5. Step 5: Solve for x
    x = 65,212,181.08/12,301.61
  6. Step 6: Final answer
    x = 5,301.11

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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.