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Finding the Fourth Proportional to 16,362, 24,543 and 5,973.75

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Solution

The fourth proportional to 16,362, 24,543 and 5,973.75 is: 8,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362 : 24,543 = 5,973.75 : x
  2. Step 2: Convert to fraction form
    16,362/24,543 = 5,973.75/x
  3. Step 3: Cross multiply
    16,362x = 24,543 × 5,973.75
  4. Step 4: Simplify right side
    16,362x = 146,613,746.25
  5. Step 5: Solve for x
    x = 146,613,746.25/16,362
  6. Step 6: Final answer
    x = 8,960.63

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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.