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Finding the Fourth Proportional to 13,894.66, 20,843.14 and 4,534.50

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Solution

The fourth proportional to 13,894.66, 20,843.14 and 4,534.50 is: 6,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.66 : 20,843.14 = 4,534.50 : x
  2. Step 2: Convert to fraction form
    13,894.66/20,843.14 = 4,534.50/x
  3. Step 3: Cross multiply
    13,894.66x = 20,843.14 × 4,534.50
  4. Step 4: Simplify right side
    13,894.66x = 94,513,218.33
  5. Step 5: Solve for x
    x = 94,513,218.33/13,894.66
  6. Step 6: Final answer
    x = 6,802.13

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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.