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Finding the Fourth Proportional to 21,783.65, 32,679.71 and 6,991.43

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Solution

The fourth proportional to 21,783.65, 32,679.71 and 6,991.43 is: 10,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.65 : 32,679.71 = 6,991.43 : x
  2. Step 2: Convert to fraction form
    21,783.65/32,679.71 = 6,991.43/x
  3. Step 3: Cross multiply
    21,783.65x = 32,679.71 × 6,991.43
  4. Step 4: Simplify right side
    21,783.65x = 228,477,706.53
  5. Step 5: Solve for x
    x = 228,477,706.53/21,783.65
  6. Step 6: Final answer
    x = 10,488.50

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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.