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Finding the Fourth Proportional to 19,608.80, 29,412.72 and 6,455.84

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Solution

The fourth proportional to 19,608.80, 29,412.72 and 6,455.84 is: 9,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.80 : 29,412.72 = 6,455.84 : x
  2. Step 2: Convert to fraction form
    19,608.80/29,412.72 = 6,455.84/x
  3. Step 3: Cross multiply
    19,608.80x = 29,412.72 × 6,455.84
  4. Step 4: Simplify right side
    19,608.80x = 189,883,814.28
  5. Step 5: Solve for x
    x = 189,883,814.28/19,608.80
  6. Step 6: Final answer
    x = 9,683.60

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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.