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Finding the Fourth Proportional to 16,357, 24,538.85 and 6,361.51

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Solution

The fourth proportional to 16,357, 24,538.85 and 6,361.51 is: 9,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357 : 24,538.85 = 6,361.51 : x
  2. Step 2: Convert to fraction form
    16,357/24,538.85 = 6,361.51/x
  3. Step 3: Cross multiply
    16,357x = 24,538.85 × 6,361.51
  4. Step 4: Simplify right side
    16,357x = 156,104,139.66
  5. Step 5: Solve for x
    x = 156,104,139.66/16,357
  6. Step 6: Final answer
    x = 9,543.57

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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.