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Finding the Fourth Proportional to 18,678.28, 25,774.84 and 10,294.80

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Solution

The fourth proportional to 18,678.28, 25,774.84 and 10,294.80 is: 14,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.28 : 25,774.84 = 10,294.80 : x
  2. Step 2: Convert to fraction form
    18,678.28/25,774.84 = 10,294.80/x
  3. Step 3: Cross multiply
    18,678.28x = 25,774.84 × 10,294.80
  4. Step 4: Simplify right side
    18,678.28x = 265,346,822.83
  5. Step 5: Solve for x
    x = 265,346,822.83/18,678.28
  6. Step 6: Final answer
    x = 14,206.17

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