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Finding the Fourth Proportional to 25,837.72, 35,661.42 and 15,231

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Solution

The fourth proportional to 25,837.72, 35,661.42 and 15,231 is: 21,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,837.72 : 35,661.42 = 15,231 : x
  2. Step 2: Convert to fraction form
    25,837.72/35,661.42 = 15,231/x
  3. Step 3: Cross multiply
    25,837.72x = 35,661.42 × 15,231
  4. Step 4: Simplify right side
    25,837.72x = 543,159,088.02
  5. Step 5: Solve for x
    x = 543,159,088.02/25,837.72
  6. Step 6: Final answer
    x = 21,021.94

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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.