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Finding the Fourth Proportional to 21,252.54, 31,878.87 and 10,156.71

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Solution

The fourth proportional to 21,252.54, 31,878.87 and 10,156.71 is: 15,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.54 : 31,878.87 = 10,156.71 : x
  2. Step 2: Convert to fraction form
    21,252.54/31,878.87 = 10,156.71/x
  3. Step 3: Cross multiply
    21,252.54x = 31,878.87 × 10,156.71
  4. Step 4: Simplify right side
    21,252.54x = 323,784,437.72
  5. Step 5: Solve for x
    x = 323,784,437.72/21,252.54
  6. Step 6: Final answer
    x = 15,235.09

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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.