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Finding the Fourth Proportional to 21,698.90, 32,548.36 and 7,844.66

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Solution

The fourth proportional to 21,698.90, 32,548.36 and 7,844.66 is: 11,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.90 : 32,548.36 = 7,844.66 : x
  2. Step 2: Convert to fraction form
    21,698.90/32,548.36 = 7,844.66/x
  3. Step 3: Cross multiply
    21,698.90x = 32,548.36 × 7,844.66
  4. Step 4: Simplify right side
    21,698.90x = 255,330,817.76
  5. Step 5: Solve for x
    x = 255,330,817.76/21,698.90
  6. Step 6: Final answer
    x = 11,766.99

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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.