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Finding the Fourth Proportional to 14,679.56, 22,023.41 and 6,784.49

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Solution

The fourth proportional to 14,679.56, 22,023.41 and 6,784.49 is: 10,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,679.56 : 22,023.41 = 6,784.49 : x
  2. Step 2: Convert to fraction form
    14,679.56/22,023.41 = 6,784.49/x
  3. Step 3: Cross multiply
    14,679.56x = 22,023.41 × 6,784.49
  4. Step 4: Simplify right side
    14,679.56x = 149,417,460.87
  5. Step 5: Solve for x
    x = 149,417,460.87/14,679.56
  6. Step 6: Final answer
    x = 10,178.61

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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.