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Finding the Fourth Proportional to 19,164.20, 26,446.50 and 10,780.76

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Solution

The fourth proportional to 19,164.20, 26,446.50 and 10,780.76 is: 14,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164.20 : 26,446.50 = 10,780.76 : x
  2. Step 2: Convert to fraction form
    19,164.20/26,446.50 = 10,780.76/x
  3. Step 3: Cross multiply
    19,164.20x = 26,446.50 × 10,780.76
  4. Step 4: Simplify right side
    19,164.20x = 285,113,369.34
  5. Step 5: Solve for x
    x = 285,113,369.34/19,164.20
  6. Step 6: Final answer
    x = 14,877.39

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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.