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Finding the Fourth Proportional to 21,684.24, 32,519.88 and 7,830

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Solution

The fourth proportional to 21,684.24, 32,519.88 and 7,830 is: 11,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.24 : 32,519.88 = 7,830 : x
  2. Step 2: Convert to fraction form
    21,684.24/32,519.88 = 7,830/x
  3. Step 3: Cross multiply
    21,684.24x = 32,519.88 × 7,830
  4. Step 4: Simplify right side
    21,684.24x = 254,630,660.40
  5. Step 5: Solve for x
    x = 254,630,660.40/21,684.24
  6. Step 6: Final answer
    x = 11,742.66

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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.