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Finding the Fourth Proportional to 21,812.15, 30,097.14 and 12,858.41

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Solution

The fourth proportional to 21,812.15, 30,097.14 and 12,858.41 is: 17,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.15 : 30,097.14 = 12,858.41 : x
  2. Step 2: Convert to fraction form
    21,812.15/30,097.14 = 12,858.41/x
  3. Step 3: Cross multiply
    21,812.15x = 30,097.14 × 12,858.41
  4. Step 4: Simplify right side
    21,812.15x = 387,001,365.95
  5. Step 5: Solve for x
    x = 387,001,365.95/21,812.15
  6. Step 6: Final answer
    x = 17,742.47

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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.