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Finding the Fourth Proportional to 19,497, 29,248.54 and 6,346.26

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Solution

The fourth proportional to 19,497, 29,248.54 and 6,346.26 is: 9,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497 : 29,248.54 = 6,346.26 : x
  2. Step 2: Convert to fraction form
    19,497/29,248.54 = 6,346.26/x
  3. Step 3: Cross multiply
    19,497x = 29,248.54 × 6,346.26
  4. Step 4: Simplify right side
    19,497x = 185,618,839.46
  5. Step 5: Solve for x
    x = 185,618,839.46/19,497
  6. Step 6: Final answer
    x = 9,520.38

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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.