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Finding the Fourth Proportional to 15,516.64, 21,414.54 and 9,145.21

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Solution

The fourth proportional to 15,516.64, 21,414.54 and 9,145.21 is: 12,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516.64 : 21,414.54 = 9,145.21 : x
  2. Step 2: Convert to fraction form
    15,516.64/21,414.54 = 9,145.21/x
  3. Step 3: Cross multiply
    15,516.64x = 21,414.54 × 9,145.21
  4. Step 4: Simplify right side
    15,516.64x = 195,840,465.35
  5. Step 5: Solve for x
    x = 195,840,465.35/15,516.64
  6. Step 6: Final answer
    x = 12,621.32

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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.