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Finding the Fourth Proportional to 18,280.24, 27,414.76 and 9,510.40

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Solution

The fourth proportional to 18,280.24, 27,414.76 and 9,510.40 is: 14,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.24 : 27,414.76 = 9,510.40 : x
  2. Step 2: Convert to fraction form
    18,280.24/27,414.76 = 9,510.40/x
  3. Step 3: Cross multiply
    18,280.24x = 27,414.76 × 9,510.40
  4. Step 4: Simplify right side
    18,280.24x = 260,725,333.50
  5. Step 5: Solve for x
    x = 260,725,333.50/18,280.24
  6. Step 6: Final answer
    x = 14,262.69

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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.