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Finding the Fourth Proportional to 21,398.69, 32,076.17 and 7,354.51

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Solution

The fourth proportional to 21,398.69, 32,076.17 and 7,354.51 is: 11,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.69 : 32,076.17 = 7,354.51 : x
  2. Step 2: Convert to fraction form
    21,398.69/32,076.17 = 7,354.51/x
  3. Step 3: Cross multiply
    21,398.69x = 32,076.17 × 7,354.51
  4. Step 4: Simplify right side
    21,398.69x = 235,904,423.64
  5. Step 5: Solve for x
    x = 235,904,423.64/21,398.69
  6. Step 6: Final answer
    x = 11,024.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.