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Finding the Fourth Proportional to 14,060, 19,402.80 and 9,092

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Solution

The fourth proportional to 14,060, 19,402.80 and 9,092 is: 12,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,060 : 19,402.80 = 9,092 : x
  2. Step 2: Convert to fraction form
    14,060/19,402.80 = 9,092/x
  3. Step 3: Cross multiply
    14,060x = 19,402.80 × 9,092
  4. Step 4: Simplify right side
    14,060x = 176,410,257.60
  5. Step 5: Solve for x
    x = 176,410,257.60/14,060
  6. Step 6: Final answer
    x = 12,546.96

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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.