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Finding the Fourth Proportional to 13,693.75, 18,897.42 and 7,406.17

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Solution

The fourth proportional to 13,693.75, 18,897.42 and 7,406.17 is: 10,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.75 : 18,897.42 = 7,406.17 : x
  2. Step 2: Convert to fraction form
    13,693.75/18,897.42 = 7,406.17/x
  3. Step 3: Cross multiply
    13,693.75x = 18,897.42 × 7,406.17
  4. Step 4: Simplify right side
    13,693.75x = 139,957,505.08
  5. Step 5: Solve for x
    x = 139,957,505.08/13,693.75
  6. Step 6: Final answer
    x = 10,220.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.