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Finding the Fourth Proportional to 13,975.91, 19,288.11 and 10,432.97

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Solution

The fourth proportional to 13,975.91, 19,288.11 and 10,432.97 is: 14,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.91 : 19,288.11 = 10,432.97 : x
  2. Step 2: Convert to fraction form
    13,975.91/19,288.11 = 10,432.97/x
  3. Step 3: Cross multiply
    13,975.91x = 19,288.11 × 10,432.97
  4. Step 4: Simplify right side
    13,975.91x = 201,232,124.38
  5. Step 5: Solve for x
    x = 201,232,124.38/13,975.91
  6. Step 6: Final answer
    x = 14,398.50

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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.