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Finding the Fourth Proportional to 15,482.64, 21,366.20 and 8,409.20

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Solution

The fourth proportional to 15,482.64, 21,366.20 and 8,409.20 is: 11,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482.64 : 21,366.20 = 8,409.20 : x
  2. Step 2: Convert to fraction form
    15,482.64/21,366.20 = 8,409.20/x
  3. Step 3: Cross multiply
    15,482.64x = 21,366.20 × 8,409.20
  4. Step 4: Simplify right side
    15,482.64x = 179,672,649.04
  5. Step 5: Solve for x
    x = 179,672,649.04/15,482.64
  6. Step 6: Final answer
    x = 11,604.78

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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.