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Finding the Fourth Proportional to 22,779.80, 34,174.70 and 6,986.99

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Solution

The fourth proportional to 22,779.80, 34,174.70 and 6,986.99 is: 10,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,779.80 : 34,174.70 = 6,986.99 : x
  2. Step 2: Convert to fraction form
    22,779.80/34,174.70 = 6,986.99/x
  3. Step 3: Cross multiply
    22,779.80x = 34,174.70 × 6,986.99
  4. Step 4: Simplify right side
    22,779.80x = 238,778,287.15
  5. Step 5: Solve for x
    x = 238,778,287.15/22,779.80
  6. Step 6: Final answer
    x = 10,482.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.