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Finding the Fourth Proportional to 13,696.90, 20,543.19 and 4,927.30

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Solution

The fourth proportional to 13,696.90, 20,543.19 and 4,927.30 is: 7,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.90 : 20,543.19 = 4,927.30 : x
  2. Step 2: Convert to fraction form
    13,696.90/20,543.19 = 4,927.30/x
  3. Step 3: Cross multiply
    13,696.90x = 20,543.19 × 4,927.30
  4. Step 4: Simplify right side
    13,696.90x = 101,222,460.09
  5. Step 5: Solve for x
    x = 101,222,460.09/13,696.90
  6. Step 6: Final answer
    x = 7,390.17

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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.