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Finding the Fourth Proportional to 16,371.36, 24,534 and 7,132.32

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Solution

The fourth proportional to 16,371.36, 24,534 and 7,132.32 is: 10,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.36 : 24,534 = 7,132.32 : x
  2. Step 2: Convert to fraction form
    16,371.36/24,534 = 7,132.32/x
  3. Step 3: Cross multiply
    16,371.36x = 24,534 × 7,132.32
  4. Step 4: Simplify right side
    16,371.36x = 174,984,338.88
  5. Step 5: Solve for x
    x = 174,984,338.88/16,371.36
  6. Step 6: Final answer
    x = 10,688.44

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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.