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Finding the Fourth Proportional to 17,871.84, 24,660.36 and 10,215

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Solution

The fourth proportional to 17,871.84, 24,660.36 and 10,215 is: 14,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.84 : 24,660.36 = 10,215 : x
  2. Step 2: Convert to fraction form
    17,871.84/24,660.36 = 10,215/x
  3. Step 3: Cross multiply
    17,871.84x = 24,660.36 × 10,215
  4. Step 4: Simplify right side
    17,871.84x = 251,905,577.40
  5. Step 5: Solve for x
    x = 251,905,577.40/17,871.84
  6. Step 6: Final answer
    x = 14,095.11

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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.