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Finding the Fourth Proportional to 15,712.54, 21,678.50 and 10,333.44

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Solution

The fourth proportional to 15,712.54, 21,678.50 and 10,333.44 is: 14,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.54 : 21,678.50 = 10,333.44 : x
  2. Step 2: Convert to fraction form
    15,712.54/21,678.50 = 10,333.44/x
  3. Step 3: Cross multiply
    15,712.54x = 21,678.50 × 10,333.44
  4. Step 4: Simplify right side
    15,712.54x = 224,013,504.87
  5. Step 5: Solve for x
    x = 224,013,504.87/15,712.54
  6. Step 6: Final answer
    x = 14,256.99

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