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Finding the Fourth Proportional to 15,589.27, 21,506.34 and 9,298

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Solution

The fourth proportional to 15,589.27, 21,506.34 and 9,298 is: 12,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.27 : 21,506.34 = 9,298 : x
  2. Step 2: Convert to fraction form
    15,589.27/21,506.34 = 9,298/x
  3. Step 3: Cross multiply
    15,589.27x = 21,506.34 × 9,298
  4. Step 4: Simplify right side
    15,589.27x = 199,965,949.32
  5. Step 5: Solve for x
    x = 199,965,949.32/15,589.27
  6. Step 6: Final answer
    x = 12,827.15

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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.