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Finding the Fourth Proportional to 10,693.78, 16,135.57 and 10,693.78

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Solution

The fourth proportional to 10,693.78, 16,135.57 and 10,693.78 is: 16,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.78 : 16,135.57 = 10,693.78 : x
  2. Step 2: Convert to fraction form
    10,693.78/16,135.57 = 10,693.78/x
  3. Step 3: Cross multiply
    10,693.78x = 16,135.57 × 10,693.78
  4. Step 4: Simplify right side
    10,693.78x = 172,550,235.75
  5. Step 5: Solve for x
    x = 172,550,235.75/10,693.78
  6. Step 6: Final answer
    x = 16,135.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.