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Finding the Fourth Proportional to 16,527.65, 24,794.20 and 8,207.93

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Solution

The fourth proportional to 16,527.65, 24,794.20 and 8,207.93 is: 12,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.65 : 24,794.20 = 8,207.93 : x
  2. Step 2: Convert to fraction form
    16,527.65/24,794.20 = 8,207.93/x
  3. Step 3: Cross multiply
    16,527.65x = 24,794.20 × 8,207.93
  4. Step 4: Simplify right side
    16,527.65x = 203,509,130.25
  5. Step 5: Solve for x
    x = 203,509,130.25/16,527.65
  6. Step 6: Final answer
    x = 12,313.26

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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.