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Finding the Fourth Proportional to 25,238.44, 37,857.66 and 15,985

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Solution

The fourth proportional to 25,238.44, 37,857.66 and 15,985 is: 23,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238.44 : 37,857.66 = 15,985 : x
  2. Step 2: Convert to fraction form
    25,238.44/37,857.66 = 15,985/x
  3. Step 3: Cross multiply
    25,238.44x = 37,857.66 × 15,985
  4. Step 4: Simplify right side
    25,238.44x = 605,154,695.10
  5. Step 5: Solve for x
    x = 605,154,695.10/25,238.44
  6. Step 6: Final answer
    x = 23,977.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.