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Finding the Fourth Proportional to 16,509.98, 24,765.78 and 6,647.93

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Solution

The fourth proportional to 16,509.98, 24,765.78 and 6,647.93 is: 9,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.98 : 24,765.78 = 6,647.93 : x
  2. Step 2: Convert to fraction form
    16,509.98/24,765.78 = 6,647.93/x
  3. Step 3: Cross multiply
    16,509.98x = 24,765.78 × 6,647.93
  4. Step 4: Simplify right side
    16,509.98x = 164,641,165.81
  5. Step 5: Solve for x
    x = 164,641,165.81/16,509.98
  6. Step 6: Final answer
    x = 9,972.22

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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.