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Finding the Fourth Proportional to 16,574, 22,872.12 and 9,122

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Solution

The fourth proportional to 16,574, 22,872.12 and 9,122 is: 12,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574 : 22,872.12 = 9,122 : x
  2. Step 2: Convert to fraction form
    16,574/22,872.12 = 9,122/x
  3. Step 3: Cross multiply
    16,574x = 22,872.12 × 9,122
  4. Step 4: Simplify right side
    16,574x = 208,639,478.64
  5. Step 5: Solve for x
    x = 208,639,478.64/16,574
  6. Step 6: Final answer
    x = 12,588.36

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