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Finding the Fourth Proportional to 25,327.84, 37,980.75 and 9,734.50

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Solution

The fourth proportional to 25,327.84, 37,980.75 and 9,734.50 is: 14,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,327.84 : 37,980.75 = 9,734.50 : x
  2. Step 2: Convert to fraction form
    25,327.84/37,980.75 = 9,734.50/x
  3. Step 3: Cross multiply
    25,327.84x = 37,980.75 × 9,734.50
  4. Step 4: Simplify right side
    25,327.84x = 369,723,610.88
  5. Step 5: Solve for x
    x = 369,723,610.88/25,327.84
  6. Step 6: Final answer
    x = 14,597.52

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