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Finding the Fourth Proportional to 19,635.60, 29,459.46 and 6,497.22

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Solution

The fourth proportional to 19,635.60, 29,459.46 and 6,497.22 is: 9,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.60 : 29,459.46 = 6,497.22 : x
  2. Step 2: Convert to fraction form
    19,635.60/29,459.46 = 6,497.22/x
  3. Step 3: Cross multiply
    19,635.60x = 29,459.46 × 6,497.22
  4. Step 4: Simplify right side
    19,635.60x = 191,404,592.70
  5. Step 5: Solve for x
    x = 191,404,592.70/19,635.60
  6. Step 6: Final answer
    x = 9,747.84

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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.