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Finding the Fourth Proportional to 13,971.31, 19,284.50 and 8,310.04

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Solution

The fourth proportional to 13,971.31, 19,284.50 and 8,310.04 is: 11,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.31 : 19,284.50 = 8,310.04 : x
  2. Step 2: Convert to fraction form
    13,971.31/19,284.50 = 8,310.04/x
  3. Step 3: Cross multiply
    13,971.31x = 19,284.50 × 8,310.04
  4. Step 4: Simplify right side
    13,971.31x = 160,254,966.38
  5. Step 5: Solve for x
    x = 160,254,966.38/13,971.31
  6. Step 6: Final answer
    x = 11,470.29

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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.