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Finding the Fourth Proportional to 15,905.96, 21,950.90 and 8,832.38

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Solution

The fourth proportional to 15,905.96, 21,950.90 and 8,832.38 is: 12,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.96 : 21,950.90 = 8,832.38 : x
  2. Step 2: Convert to fraction form
    15,905.96/21,950.90 = 8,832.38/x
  3. Step 3: Cross multiply
    15,905.96x = 21,950.90 × 8,832.38
  4. Step 4: Simplify right side
    15,905.96x = 193,878,602.47
  5. Step 5: Solve for x
    x = 193,878,602.47/15,905.96
  6. Step 6: Final answer
    x = 12,189.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.