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Finding the Fourth Proportional to 21,160.32, 29,200 and 11,600

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Solution

The fourth proportional to 21,160.32, 29,200 and 11,600 is: 16,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.32 : 29,200 = 11,600 : x
  2. Step 2: Convert to fraction form
    21,160.32/29,200 = 11,600/x
  3. Step 3: Cross multiply
    21,160.32x = 29,200 × 11,600
  4. Step 4: Simplify right side
    21,160.32x = 338,720,000
  5. Step 5: Solve for x
    x = 338,720,000/21,160.32
  6. Step 6: Final answer
    x = 16,007.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.