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Finding the Fourth Proportional to 19,852.79, 29,779.25 and 6,705.27

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Solution

The fourth proportional to 19,852.79, 29,779.25 and 6,705.27 is: 10,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.79 : 29,779.25 = 6,705.27 : x
  2. Step 2: Convert to fraction form
    19,852.79/29,779.25 = 6,705.27/x
  3. Step 3: Cross multiply
    19,852.79x = 29,779.25 × 6,705.27
  4. Step 4: Simplify right side
    19,852.79x = 199,677,878.12
  5. Step 5: Solve for x
    x = 199,677,878.12/19,852.79
  6. Step 6: Final answer
    x = 10,057.93

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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.