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Finding the Fourth Proportional to 15,998.16, 22,077.41 and 8,924.58

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Solution

The fourth proportional to 15,998.16, 22,077.41 and 8,924.58 is: 12,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.16 : 22,077.41 = 8,924.58 : x
  2. Step 2: Convert to fraction form
    15,998.16/22,077.41 = 8,924.58/x
  3. Step 3: Cross multiply
    15,998.16x = 22,077.41 × 8,924.58
  4. Step 4: Simplify right side
    15,998.16x = 197,031,567.11
  5. Step 5: Solve for x
    x = 197,031,567.11/15,998.16
  6. Step 6: Final answer
    x = 12,315.89

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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.