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Finding the Fourth Proportional to 14,180.01, 19,566.16 and 7,892.38

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Solution

The fourth proportional to 14,180.01, 19,566.16 and 7,892.38 is: 10,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.01 : 19,566.16 = 7,892.38 : x
  2. Step 2: Convert to fraction form
    14,180.01/19,566.16 = 7,892.38/x
  3. Step 3: Cross multiply
    14,180.01x = 19,566.16 × 7,892.38
  4. Step 4: Simplify right side
    14,180.01x = 154,423,569.86
  5. Step 5: Solve for x
    x = 154,423,569.86/14,180.01
  6. Step 6: Final answer
    x = 10,890.23

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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.