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Finding the Fourth Proportional to 15,506.16, 21,404 and 9,218.52

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Solution

The fourth proportional to 15,506.16, 21,404 and 9,218.52 is: 12,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.16 : 21,404 = 9,218.52 : x
  2. Step 2: Convert to fraction form
    15,506.16/21,404 = 9,218.52/x
  3. Step 3: Cross multiply
    15,506.16x = 21,404 × 9,218.52
  4. Step 4: Simplify right side
    15,506.16x = 197,313,202.08
  5. Step 5: Solve for x
    x = 197,313,202.08/15,506.16
  6. Step 6: Final answer
    x = 12,724.83

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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.