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Finding the Fourth Proportional to 24,814.23, 34,239.78 and 14,742.41

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Solution

The fourth proportional to 24,814.23, 34,239.78 and 14,742.41 is: 20,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.23 : 34,239.78 = 14,742.41 : x
  2. Step 2: Convert to fraction form
    24,814.23/34,239.78 = 14,742.41/x
  3. Step 3: Cross multiply
    24,814.23x = 34,239.78 × 14,742.41
  4. Step 4: Simplify right side
    24,814.23x = 504,776,875.07
  5. Step 5: Solve for x
    x = 504,776,875.07/24,814.23
  6. Step 6: Final answer
    x = 20,342.23

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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.