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Finding the Fourth Proportional to 25,142.98, 37,731.90 and 9,362.41

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Solution

The fourth proportional to 25,142.98, 37,731.90 and 9,362.41 is: 14,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.98 : 37,731.90 = 9,362.41 : x
  2. Step 2: Convert to fraction form
    25,142.98/37,731.90 = 9,362.41/x
  3. Step 3: Cross multiply
    25,142.98x = 37,731.90 × 9,362.41
  4. Step 4: Simplify right side
    25,142.98x = 353,261,538.45
  5. Step 5: Solve for x
    x = 353,261,538.45/25,142.98
  6. Step 6: Final answer
    x = 14,050.10

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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.