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Finding the Fourth Proportional to 12,536.24, 18,805.08 and 3,302

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Solution

The fourth proportional to 12,536.24, 18,805.08 and 3,302 is: 4,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.24 : 18,805.08 = 3,302 : x
  2. Step 2: Convert to fraction form
    12,536.24/18,805.08 = 3,302/x
  3. Step 3: Cross multiply
    12,536.24x = 18,805.08 × 3,302
  4. Step 4: Simplify right side
    12,536.24x = 62,094,374.16
  5. Step 5: Solve for x
    x = 62,094,374.16/12,536.24
  6. Step 6: Final answer
    x = 4,953.19

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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.