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Finding the Fourth Proportional to 14,785.34, 22,182.06 and 7,380.86

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Solution

The fourth proportional to 14,785.34, 22,182.06 and 7,380.86 is: 11,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.34 : 22,182.06 = 7,380.86 : x
  2. Step 2: Convert to fraction form
    14,785.34/22,182.06 = 7,380.86/x
  3. Step 3: Cross multiply
    14,785.34x = 22,182.06 × 7,380.86
  4. Step 4: Simplify right side
    14,785.34x = 163,722,679.37
  5. Step 5: Solve for x
    x = 163,722,679.37/14,785.34
  6. Step 6: Final answer
    x = 11,073.31

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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.