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Finding the Fourth Proportional to 16,357.64, 24,535.98 and 5,264.24

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Solution

The fourth proportional to 16,357.64, 24,535.98 and 5,264.24 is: 7,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.64 : 24,535.98 = 5,264.24 : x
  2. Step 2: Convert to fraction form
    16,357.64/24,535.98 = 5,264.24/x
  3. Step 3: Cross multiply
    16,357.64x = 24,535.98 × 5,264.24
  4. Step 4: Simplify right side
    16,357.64x = 129,163,287.36
  5. Step 5: Solve for x
    x = 129,163,287.36/16,357.64
  6. Step 6: Final answer
    x = 7,896.21

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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.