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Finding the Fourth Proportional to 14,092, 19,446.18 and 7,803.88

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Solution

The fourth proportional to 14,092, 19,446.18 and 7,803.88 is: 10,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092 : 19,446.18 = 7,803.88 : x
  2. Step 2: Convert to fraction form
    14,092/19,446.18 = 7,803.88/x
  3. Step 3: Cross multiply
    14,092x = 19,446.18 × 7,803.88
  4. Step 4: Simplify right side
    14,092x = 151,755,655.18
  5. Step 5: Solve for x
    x = 151,755,655.18/14,092
  6. Step 6: Final answer
    x = 10,768.92

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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.