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Finding the Fourth Proportional to 16,364, 24,525.34 and 8,867.24

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Solution

The fourth proportional to 16,364, 24,525.34 and 8,867.24 is: 13,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364 : 24,525.34 = 8,867.24 : x
  2. Step 2: Convert to fraction form
    16,364/24,525.34 = 8,867.24/x
  3. Step 3: Cross multiply
    16,364x = 24,525.34 × 8,867.24
  4. Step 4: Simplify right side
    16,364x = 217,472,075.86
  5. Step 5: Solve for x
    x = 217,472,075.86/16,364
  6. Step 6: Final answer
    x = 13,289.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.