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Finding the Fourth Proportional to 17,974.86, 24,804.18 and 10,015.64

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Solution

The fourth proportional to 17,974.86, 24,804.18 and 10,015.64 is: 13,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.86 : 24,804.18 = 10,015.64 : x
  2. Step 2: Convert to fraction form
    17,974.86/24,804.18 = 10,015.64/x
  3. Step 3: Cross multiply
    17,974.86x = 24,804.18 × 10,015.64
  4. Step 4: Simplify right side
    17,974.86x = 248,429,737.38
  5. Step 5: Solve for x
    x = 248,429,737.38/17,974.86
  6. Step 6: Final answer
    x = 13,820.96

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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.