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Finding the Fourth Proportional to 16,220.71, 22,384.92 and 9,511.48

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Solution

The fourth proportional to 16,220.71, 22,384.92 and 9,511.48 is: 13,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.71 : 22,384.92 = 9,511.48 : x
  2. Step 2: Convert to fraction form
    16,220.71/22,384.92 = 9,511.48/x
  3. Step 3: Cross multiply
    16,220.71x = 22,384.92 × 9,511.48
  4. Step 4: Simplify right side
    16,220.71x = 212,913,718.88
  5. Step 5: Solve for x
    x = 212,913,718.88/16,220.71
  6. Step 6: Final answer
    x = 13,126.04

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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.