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Finding the Fourth Proportional to 16,525.57, 24,763.74 and 9,132.14

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Solution

The fourth proportional to 16,525.57, 24,763.74 and 9,132.14 is: 13,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.57 : 24,763.74 = 9,132.14 : x
  2. Step 2: Convert to fraction form
    16,525.57/24,763.74 = 9,132.14/x
  3. Step 3: Cross multiply
    16,525.57x = 24,763.74 × 9,132.14
  4. Step 4: Simplify right side
    16,525.57x = 226,146,019.64
  5. Step 5: Solve for x
    x = 226,146,019.64/16,525.57
  6. Step 6: Final answer
    x = 13,684.61

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1.5x scale

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.