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Finding the Fourth Proportional to 27,886.42, 41,830.12 and 10,129.67

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Solution

The fourth proportional to 27,886.42, 41,830.12 and 10,129.67 is: 15,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.42 : 41,830.12 = 10,129.67 : x
  2. Step 2: Convert to fraction form
    27,886.42/41,830.12 = 10,129.67/x
  3. Step 3: Cross multiply
    27,886.42x = 41,830.12 × 10,129.67
  4. Step 4: Simplify right side
    27,886.42x = 423,725,286.34
  5. Step 5: Solve for x
    x = 423,725,286.34/27,886.42
  6. Step 6: Final answer
    x = 15,194.68

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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.