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Finding the Fourth Proportional to 14,141, 19,516.38 and 8,552.04

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Solution

The fourth proportional to 14,141, 19,516.38 and 8,552.04 is: 11,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141 : 19,516.38 = 8,552.04 : x
  2. Step 2: Convert to fraction form
    14,141/19,516.38 = 8,552.04/x
  3. Step 3: Cross multiply
    14,141x = 19,516.38 × 8,552.04
  4. Step 4: Simplify right side
    14,141x = 166,904,862.42
  5. Step 5: Solve for x
    x = 166,904,862.42/14,141
  6. Step 6: Final answer
    x = 11,802.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.