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Finding the Fourth Proportional to 15,578.64, 21,498.35 and 8,505.18

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Solution

The fourth proportional to 15,578.64, 21,498.35 and 8,505.18 is: 11,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.64 : 21,498.35 = 8,505.18 : x
  2. Step 2: Convert to fraction form
    15,578.64/21,498.35 = 8,505.18/x
  3. Step 3: Cross multiply
    15,578.64x = 21,498.35 × 8,505.18
  4. Step 4: Simplify right side
    15,578.64x = 182,847,293.93
  5. Step 5: Solve for x
    x = 182,847,293.93/15,578.64
  6. Step 6: Final answer
    x = 11,737.05

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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.