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Finding the Fourth Proportional to 19,814.58, 29,701.89 and 12,424.23

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Solution

The fourth proportional to 19,814.58, 29,701.89 and 12,424.23 is: 18,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.58 : 29,701.89 = 12,424.23 : x
  2. Step 2: Convert to fraction form
    19,814.58/29,701.89 = 12,424.23/x
  3. Step 3: Cross multiply
    19,814.58x = 29,701.89 × 12,424.23
  4. Step 4: Simplify right side
    19,814.58x = 369,023,112.79
  5. Step 5: Solve for x
    x = 369,023,112.79/19,814.58
  6. Step 6: Final answer
    x = 18,623.82

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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.