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Finding the Fourth Proportional to 21,384.50, 32,079.76 and 6,594.62

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Solution

The fourth proportional to 21,384.50, 32,079.76 and 6,594.62 is: 9,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.50 : 32,079.76 = 6,594.62 : x
  2. Step 2: Convert to fraction form
    21,384.50/32,079.76 = 6,594.62/x
  3. Step 3: Cross multiply
    21,384.50x = 32,079.76 × 6,594.62
  4. Step 4: Simplify right side
    21,384.50x = 211,553,826.89
  5. Step 5: Solve for x
    x = 211,553,826.89/21,384.50
  6. Step 6: Final answer
    x = 9,892.86

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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.