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Finding the Fourth Proportional to 19,567.56, 29,353.86 and 6,416.04

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Solution

The fourth proportional to 19,567.56, 29,353.86 and 6,416.04 is: 9,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.56 : 29,353.86 = 6,416.04 : x
  2. Step 2: Convert to fraction form
    19,567.56/29,353.86 = 6,416.04/x
  3. Step 3: Cross multiply
    19,567.56x = 29,353.86 × 6,416.04
  4. Step 4: Simplify right side
    19,567.56x = 188,335,539.91
  5. Step 5: Solve for x
    x = 188,335,539.91/19,567.56
  6. Step 6: Final answer
    x = 9,624.89

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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.