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Finding the Fourth Proportional to 12,282.64, 18,433.68 and 5,362

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Solution

The fourth proportional to 12,282.64, 18,433.68 and 5,362 is: 8,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.64 : 18,433.68 = 5,362 : x
  2. Step 2: Convert to fraction form
    12,282.64/18,433.68 = 5,362/x
  3. Step 3: Cross multiply
    12,282.64x = 18,433.68 × 5,362
  4. Step 4: Simplify right side
    12,282.64x = 98,841,392.16
  5. Step 5: Solve for x
    x = 98,841,392.16/12,282.64
  6. Step 6: Final answer
    x = 8,047.24

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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.