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Finding the Fourth Proportional to 19,853.14, 29,752.14 and 8,743.18

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Solution

The fourth proportional to 19,853.14, 29,752.14 and 8,743.18 is: 13,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.14 : 29,752.14 = 8,743.18 : x
  2. Step 2: Convert to fraction form
    19,853.14/29,752.14 = 8,743.18/x
  3. Step 3: Cross multiply
    19,853.14x = 29,752.14 × 8,743.18
  4. Step 4: Simplify right side
    19,853.14x = 260,128,315.41
  5. Step 5: Solve for x
    x = 260,128,315.41/19,853.14
  6. Step 6: Final answer
    x = 13,102.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.