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Finding the Fourth Proportional to 15,838.68, 21,857.67 and 8,765.76

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Solution

The fourth proportional to 15,838.68, 21,857.67 and 8,765.76 is: 12,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.68 : 21,857.67 = 8,765.76 : x
  2. Step 2: Convert to fraction form
    15,838.68/21,857.67 = 8,765.76/x
  3. Step 3: Cross multiply
    15,838.68x = 21,857.67 × 8,765.76
  4. Step 4: Simplify right side
    15,838.68x = 191,599,089.38
  5. Step 5: Solve for x
    x = 191,599,089.38/15,838.68
  6. Step 6: Final answer
    x = 12,096.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.