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Finding the Fourth Proportional to 10,872.84, 14,892.10 and 10,234.51

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Solution

The fourth proportional to 10,872.84, 14,892.10 and 10,234.51 is: 14,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.84 : 14,892.10 = 10,234.51 : x
  2. Step 2: Convert to fraction form
    10,872.84/14,892.10 = 10,234.51/x
  3. Step 3: Cross multiply
    10,872.84x = 14,892.10 × 10,234.51
  4. Step 4: Simplify right side
    10,872.84x = 152,413,339.40
  5. Step 5: Solve for x
    x = 152,413,339.40/10,872.84
  6. Step 6: Final answer
    x = 14,017.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.