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Finding the Fourth Proportional to 11,643.90, 16,345.20 and 11,643.90

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Solution

The fourth proportional to 11,643.90, 16,345.20 and 11,643.90 is: 16,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.90 : 16,345.20 = 11,643.90 : x
  2. Step 2: Convert to fraction form
    11,643.90/16,345.20 = 11,643.90/x
  3. Step 3: Cross multiply
    11,643.90x = 16,345.20 × 11,643.90
  4. Step 4: Simplify right side
    11,643.90x = 190,321,874.28
  5. Step 5: Solve for x
    x = 190,321,874.28/11,643.90
  6. Step 6: Final answer
    x = 16,345.20

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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.