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Finding the Fourth Proportional to 14,494.32, 21,739.86 and 4,632.66

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Solution

The fourth proportional to 14,494.32, 21,739.86 and 4,632.66 is: 6,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.32 : 21,739.86 = 4,632.66 : x
  2. Step 2: Convert to fraction form
    14,494.32/21,739.86 = 4,632.66/x
  3. Step 3: Cross multiply
    14,494.32x = 21,739.86 × 4,632.66
  4. Step 4: Simplify right side
    14,494.32x = 100,713,379.83
  5. Step 5: Solve for x
    x = 100,713,379.83/14,494.32
  6. Step 6: Final answer
    x = 6,948.47

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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.