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Finding the Fourth Proportional to 15,216, 22,806.84 and 11,506.20

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Solution

The fourth proportional to 15,216, 22,806.84 and 11,506.20 is: 17,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216 : 22,806.84 = 11,506.20 : x
  2. Step 2: Convert to fraction form
    15,216/22,806.84 = 11,506.20/x
  3. Step 3: Cross multiply
    15,216x = 22,806.84 × 11,506.20
  4. Step 4: Simplify right side
    15,216x = 262,420,062.41
  5. Step 5: Solve for x
    x = 262,420,062.41/15,216
  6. Step 6: Final answer
    x = 17,246.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.