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Finding the Fourth Proportional to 16,574, 22,872.28 and 9,122.16

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Solution

The fourth proportional to 16,574, 22,872.28 and 9,122.16 is: 12,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574 : 22,872.28 = 9,122.16 : x
  2. Step 2: Convert to fraction form
    16,574/22,872.28 = 9,122.16/x
  3. Step 3: Cross multiply
    16,574x = 22,872.28 × 9,122.16
  4. Step 4: Simplify right side
    16,574x = 208,644,597.72
  5. Step 5: Solve for x
    x = 208,644,597.72/16,574
  6. Step 6: Final answer
    x = 12,588.67

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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.