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Finding the Fourth Proportional to 14,486.76, 21,730.14 and 6,694.56

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Solution

The fourth proportional to 14,486.76, 21,730.14 and 6,694.56 is: 10,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.76 : 21,730.14 = 6,694.56 : x
  2. Step 2: Convert to fraction form
    14,486.76/21,730.14 = 6,694.56/x
  3. Step 3: Cross multiply
    14,486.76x = 21,730.14 × 6,694.56
  4. Step 4: Simplify right side
    14,486.76x = 145,473,726.04
  5. Step 5: Solve for x
    x = 145,473,726.04/14,486.76
  6. Step 6: Final answer
    x = 10,041.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.