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Finding the Fourth Proportional to 15,229.32, 21,014.02 and 9,257.80

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Solution

The fourth proportional to 15,229.32, 21,014.02 and 9,257.80 is: 12,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.32 : 21,014.02 = 9,257.80 : x
  2. Step 2: Convert to fraction form
    15,229.32/21,014.02 = 9,257.80/x
  3. Step 3: Cross multiply
    15,229.32x = 21,014.02 × 9,257.80
  4. Step 4: Simplify right side
    15,229.32x = 194,543,594.36
  5. Step 5: Solve for x
    x = 194,543,594.36/15,229.32
  6. Step 6: Final answer
    x = 12,774.28

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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.