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Finding the Fourth Proportional to 16,340.30, 22,827.10 and 16,340.30

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Solution

The fourth proportional to 16,340.30, 22,827.10 and 16,340.30 is: 22,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.30 : 22,827.10 = 16,340.30 : x
  2. Step 2: Convert to fraction form
    16,340.30/22,827.10 = 16,340.30/x
  3. Step 3: Cross multiply
    16,340.30x = 22,827.10 × 16,340.30
  4. Step 4: Simplify right side
    16,340.30x = 373,001,662.13
  5. Step 5: Solve for x
    x = 373,001,662.13/16,340.30
  6. Step 6: Final answer
    x = 22,827.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.