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Finding the Fourth Proportional to 21,856.72, 30,152.64 and 13,478.08

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Solution

The fourth proportional to 21,856.72, 30,152.64 and 13,478.08 is: 18,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.72 : 30,152.64 = 13,478.08 : x
  2. Step 2: Convert to fraction form
    21,856.72/30,152.64 = 13,478.08/x
  3. Step 3: Cross multiply
    21,856.72x = 30,152.64 × 13,478.08
  4. Step 4: Simplify right side
    21,856.72x = 406,399,694.13
  5. Step 5: Solve for x
    x = 406,399,694.13/21,856.72
  6. Step 6: Final answer
    x = 18,593.81

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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.