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Finding the Fourth Proportional to 16,355.57, 24,537 and 5,967.32

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Solution

The fourth proportional to 16,355.57, 24,537 and 5,967.32 is: 8,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355.57 : 24,537 = 5,967.32 : x
  2. Step 2: Convert to fraction form
    16,355.57/24,537 = 5,967.32/x
  3. Step 3: Cross multiply
    16,355.57x = 24,537 × 5,967.32
  4. Step 4: Simplify right side
    16,355.57x = 146,420,130.84
  5. Step 5: Solve for x
    x = 146,420,130.84/16,355.57
  6. Step 6: Final answer
    x = 8,952.31

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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.