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Finding the Fourth Proportional to 22,405.72, 30,916.04 and 13,458.16

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Solution

The fourth proportional to 22,405.72, 30,916.04 and 13,458.16 is: 18,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.72 : 30,916.04 = 13,458.16 : x
  2. Step 2: Convert to fraction form
    22,405.72/30,916.04 = 13,458.16/x
  3. Step 3: Cross multiply
    22,405.72x = 30,916.04 × 13,458.16
  4. Step 4: Simplify right side
    22,405.72x = 416,073,012.89
  5. Step 5: Solve for x
    x = 416,073,012.89/22,405.72
  6. Step 6: Final answer
    x = 18,569.95

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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.