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Finding the Fourth Proportional to 16,530.16, 24,793.08 and 7,294

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Solution

The fourth proportional to 16,530.16, 24,793.08 and 7,294 is: 10,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.16 : 24,793.08 = 7,294 : x
  2. Step 2: Convert to fraction form
    16,530.16/24,793.08 = 7,294/x
  3. Step 3: Cross multiply
    16,530.16x = 24,793.08 × 7,294
  4. Step 4: Simplify right side
    16,530.16x = 180,840,725.52
  5. Step 5: Solve for x
    x = 180,840,725.52/16,530.16
  6. Step 6: Final answer
    x = 10,940.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.