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Finding the Fourth Proportional to 16,527.74, 22,808.53 and 8,974.22

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Solution

The fourth proportional to 16,527.74, 22,808.53 and 8,974.22 is: 12,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.74 : 22,808.53 = 8,974.22 : x
  2. Step 2: Convert to fraction form
    16,527.74/22,808.53 = 8,974.22/x
  3. Step 3: Cross multiply
    16,527.74x = 22,808.53 × 8,974.22
  4. Step 4: Simplify right side
    16,527.74x = 204,688,721.11
  5. Step 5: Solve for x
    x = 204,688,721.11/16,527.74
  6. Step 6: Final answer
    x = 12,384.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.