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Finding the Fourth Proportional to 19,567.60, 29,355.65 and 6,419.48

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Solution

The fourth proportional to 19,567.60, 29,355.65 and 6,419.48 is: 9,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.60 : 29,355.65 = 6,419.48 : x
  2. Step 2: Convert to fraction form
    19,567.60/29,355.65 = 6,419.48/x
  3. Step 3: Cross multiply
    19,567.60x = 29,355.65 × 6,419.48
  4. Step 4: Simplify right side
    19,567.60x = 188,447,962.90
  5. Step 5: Solve for x
    x = 188,447,962.90/19,567.60
  6. Step 6: Final answer
    x = 9,630.61

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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.