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Finding the Fourth Proportional to 16,833.78, 23,230.78 and 9,280.38

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Solution

The fourth proportional to 16,833.78, 23,230.78 and 9,280.38 is: 12,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.78 : 23,230.78 = 9,280.38 : x
  2. Step 2: Convert to fraction form
    16,833.78/23,230.78 = 9,280.38/x
  3. Step 3: Cross multiply
    16,833.78x = 23,230.78 × 9,280.38
  4. Step 4: Simplify right side
    16,833.78x = 215,590,442.90
  5. Step 5: Solve for x
    x = 215,590,442.90/16,833.78
  6. Step 6: Final answer
    x = 12,807.01

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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.