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Finding the Fourth Proportional to 15,205.64, 22,809.76 and 5,344.06

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Solution

The fourth proportional to 15,205.64, 22,809.76 and 5,344.06 is: 8,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.64 : 22,809.76 = 5,344.06 : x
  2. Step 2: Convert to fraction form
    15,205.64/22,809.76 = 5,344.06/x
  3. Step 3: Cross multiply
    15,205.64x = 22,809.76 × 5,344.06
  4. Step 4: Simplify right side
    15,205.64x = 121,896,726.03
  5. Step 5: Solve for x
    x = 121,896,726.03/15,205.64
  6. Step 6: Final answer
    x = 8,016.55

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