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Finding the Fourth Proportional to 19,591.84, 29,391.42 and 6,453.46

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Solution

The fourth proportional to 19,591.84, 29,391.42 and 6,453.46 is: 9,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.84 : 29,391.42 = 6,453.46 : x
  2. Step 2: Convert to fraction form
    19,591.84/29,391.42 = 6,453.46/x
  3. Step 3: Cross multiply
    19,591.84x = 29,391.42 × 6,453.46
  4. Step 4: Simplify right side
    19,591.84x = 189,676,353.31
  5. Step 5: Solve for x
    x = 189,676,353.31/19,591.84
  6. Step 6: Final answer
    x = 9,681.40

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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.