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Finding the Fourth Proportional to 15,092.34, 22,638.42 and 8,210.58

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Solution

The fourth proportional to 15,092.34, 22,638.42 and 8,210.58 is: 12,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.34 : 22,638.42 = 8,210.58 : x
  2. Step 2: Convert to fraction form
    15,092.34/22,638.42 = 8,210.58/x
  3. Step 3: Cross multiply
    15,092.34x = 22,638.42 × 8,210.58
  4. Step 4: Simplify right side
    15,092.34x = 185,874,558.48
  5. Step 5: Solve for x
    x = 185,874,558.48/15,092.34
  6. Step 6: Final answer
    x = 12,315.82

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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.