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Finding the Fourth Proportional to 21,783.61, 32,672.32 and 6,990.62

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Solution

The fourth proportional to 21,783.61, 32,672.32 and 6,990.62 is: 10,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.61 : 32,672.32 = 6,990.62 : x
  2. Step 2: Convert to fraction form
    21,783.61/32,672.32 = 6,990.62/x
  3. Step 3: Cross multiply
    21,783.61x = 32,672.32 × 6,990.62
  4. Step 4: Simplify right side
    21,783.61x = 228,399,610.28
  5. Step 5: Solve for x
    x = 228,399,610.28/21,783.61
  6. Step 6: Final answer
    x = 10,484.93

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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.