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Finding the Fourth Proportional to 21,089.16, 31,635.90 and 7,952.58

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Solution

The fourth proportional to 21,089.16, 31,635.90 and 7,952.58 is: 11,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089.16 : 31,635.90 = 7,952.58 : x
  2. Step 2: Convert to fraction form
    21,089.16/31,635.90 = 7,952.58/x
  3. Step 3: Cross multiply
    21,089.16x = 31,635.90 × 7,952.58
  4. Step 4: Simplify right side
    21,089.16x = 251,587,025.62
  5. Step 5: Solve for x
    x = 251,587,025.62/21,089.16
  6. Step 6: Final answer
    x = 11,929.68

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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.