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Finding the Fourth Proportional to 23,782.41, 32,814.72 and 14,349.15

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Solution

The fourth proportional to 23,782.41, 32,814.72 and 14,349.15 is: 19,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.41 : 32,814.72 = 14,349.15 : x
  2. Step 2: Convert to fraction form
    23,782.41/32,814.72 = 14,349.15/x
  3. Step 3: Cross multiply
    23,782.41x = 32,814.72 × 14,349.15
  4. Step 4: Simplify right side
    23,782.41x = 470,863,339.49
  5. Step 5: Solve for x
    x = 470,863,339.49/23,782.41
  6. Step 6: Final answer
    x = 19,798.81

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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.