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Finding the Fourth Proportional to 19,704.42, 29,503.71 and 12,294.18

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Solution

The fourth proportional to 19,704.42, 29,503.71 and 12,294.18 is: 18,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.42 : 29,503.71 = 12,294.18 : x
  2. Step 2: Convert to fraction form
    19,704.42/29,503.71 = 12,294.18/x
  3. Step 3: Cross multiply
    19,704.42x = 29,503.71 × 12,294.18
  4. Step 4: Simplify right side
    19,704.42x = 362,723,921.41
  5. Step 5: Solve for x
    x = 362,723,921.41/19,704.42
  6. Step 6: Final answer
    x = 18,408.25

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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.