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Finding the Fourth Proportional to 21,783.30, 32,668.98 and 5,984.52

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Solution

The fourth proportional to 21,783.30, 32,668.98 and 5,984.52 is: 8,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.30 : 32,668.98 = 5,984.52 : x
  2. Step 2: Convert to fraction form
    21,783.30/32,668.98 = 5,984.52/x
  3. Step 3: Cross multiply
    21,783.30x = 32,668.98 × 5,984.52
  4. Step 4: Simplify right side
    21,783.30x = 195,508,164.19
  5. Step 5: Solve for x
    x = 195,508,164.19/21,783.30
  6. Step 6: Final answer
    x = 8,975.14

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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.