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Finding the Fourth Proportional to 25,187.96, 37,747.92 and 9,597.08

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Solution

The fourth proportional to 25,187.96, 37,747.92 and 9,597.08 is: 14,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.96 : 37,747.92 = 9,597.08 : x
  2. Step 2: Convert to fraction form
    25,187.96/37,747.92 = 9,597.08/x
  3. Step 3: Cross multiply
    25,187.96x = 37,747.92 × 9,597.08
  4. Step 4: Simplify right side
    25,187.96x = 362,269,808.07
  5. Step 5: Solve for x
    x = 362,269,808.07/25,187.96
  6. Step 6: Final answer
    x = 14,382.66

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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.