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Finding the Fourth Proportional to 19,562.62, 29,346.72 and 6,416.02

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Solution

The fourth proportional to 19,562.62, 29,346.72 and 6,416.02 is: 9,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,562.62 : 29,346.72 = 6,416.02 : x
  2. Step 2: Convert to fraction form
    19,562.62/29,346.72 = 6,416.02/x
  3. Step 3: Cross multiply
    19,562.62x = 29,346.72 × 6,416.02
  4. Step 4: Simplify right side
    19,562.62x = 188,289,142.45
  5. Step 5: Solve for x
    x = 188,289,142.45/19,562.62
  6. Step 6: Final answer
    x = 9,624.95

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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.