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Finding the Fourth Proportional to 25,212.88, 37,827 and 9,637.84

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Solution

The fourth proportional to 25,212.88, 37,827 and 9,637.84 is: 14,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,212.88 : 37,827 = 9,637.84 : x
  2. Step 2: Convert to fraction form
    25,212.88/37,827 = 9,637.84/x
  3. Step 3: Cross multiply
    25,212.88x = 37,827 × 9,637.84
  4. Step 4: Simplify right side
    25,212.88x = 364,570,573.68
  5. Step 5: Solve for x
    x = 364,570,573.68/25,212.88
  6. Step 6: Final answer
    x = 14,459.70

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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.