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Finding the Fourth Proportional to 21,853.61, 30,162.76 and 13,894.28

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Solution

The fourth proportional to 21,853.61, 30,162.76 and 13,894.28 is: 19,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.61 : 30,162.76 = 13,894.28 : x
  2. Step 2: Convert to fraction form
    21,853.61/30,162.76 = 13,894.28/x
  3. Step 3: Cross multiply
    21,853.61x = 30,162.76 × 13,894.28
  4. Step 4: Simplify right side
    21,853.61x = 419,089,688.13
  5. Step 5: Solve for x
    x = 419,089,688.13/21,853.61
  6. Step 6: Final answer
    x = 19,177.14

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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.