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Finding the Fourth Proportional to 19,814.30, 29,701.46 and 12,423.95

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Solution

The fourth proportional to 19,814.30, 29,701.46 and 12,423.95 is: 18,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.30 : 29,701.46 = 12,423.95 : x
  2. Step 2: Convert to fraction form
    19,814.30/29,701.46 = 12,423.95/x
  3. Step 3: Cross multiply
    19,814.30x = 29,701.46 × 12,423.95
  4. Step 4: Simplify right side
    19,814.30x = 369,009,453.97
  5. Step 5: Solve for x
    x = 369,009,453.97/19,814.30
  6. Step 6: Final answer
    x = 18,623.39

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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.