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Finding the Fourth Proportional to 16,444.32, 24,666 and 6,580.80

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Solution

The fourth proportional to 16,444.32, 24,666 and 6,580.80 is: 9,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,444.32 : 24,666 = 6,580.80 : x
  2. Step 2: Convert to fraction form
    16,444.32/24,666 = 6,580.80/x
  3. Step 3: Cross multiply
    16,444.32x = 24,666 × 6,580.80
  4. Step 4: Simplify right side
    16,444.32x = 162,322,012.80
  5. Step 5: Solve for x
    x = 162,322,012.80/16,444.32
  6. Step 6: Final answer
    x = 9,871.01

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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.