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Finding the Fourth Proportional to 15,929.84, 23,895.37 and 8,129.54

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Solution

The fourth proportional to 15,929.84, 23,895.37 and 8,129.54 is: 12,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.84 : 23,895.37 = 8,129.54 : x
  2. Step 2: Convert to fraction form
    15,929.84/23,895.37 = 8,129.54/x
  3. Step 3: Cross multiply
    15,929.84x = 23,895.37 × 8,129.54
  4. Step 4: Simplify right side
    15,929.84x = 194,258,366.23
  5. Step 5: Solve for x
    x = 194,258,366.23/15,929.84
  6. Step 6: Final answer
    x = 12,194.62

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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.