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Finding the Fourth Proportional to 16,316.52, 22,516.76 and 8,864.52

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Solution

The fourth proportional to 16,316.52, 22,516.76 and 8,864.52 is: 12,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.52 : 22,516.76 = 8,864.52 : x
  2. Step 2: Convert to fraction form
    16,316.52/22,516.76 = 8,864.52/x
  3. Step 3: Cross multiply
    16,316.52x = 22,516.76 × 8,864.52
  4. Step 4: Simplify right side
    16,316.52x = 199,600,269.36
  5. Step 5: Solve for x
    x = 199,600,269.36/16,316.52
  6. Step 6: Final answer
    x = 12,233.02

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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.