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Finding the Fourth Proportional to 16,284.66, 22,473.34 and 9,210.94

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Solution

The fourth proportional to 16,284.66, 22,473.34 and 9,210.94 is: 12,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.66 : 22,473.34 = 9,210.94 : x
  2. Step 2: Convert to fraction form
    16,284.66/22,473.34 = 9,210.94/x
  3. Step 3: Cross multiply
    16,284.66x = 22,473.34 × 9,210.94
  4. Step 4: Simplify right side
    16,284.66x = 207,000,586.34
  5. Step 5: Solve for x
    x = 207,000,586.34/16,284.66
  6. Step 6: Final answer
    x = 12,711.39

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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.