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Finding the Fourth Proportional to 25,962.86, 38,960.84 and 9,322.53

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Solution

The fourth proportional to 25,962.86, 38,960.84 and 9,322.53 is: 13,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,962.86 : 38,960.84 = 9,322.53 : x
  2. Step 2: Convert to fraction form
    25,962.86/38,960.84 = 9,322.53/x
  3. Step 3: Cross multiply
    25,962.86x = 38,960.84 × 9,322.53
  4. Step 4: Simplify right side
    25,962.86x = 363,213,623.03
  5. Step 5: Solve for x
    x = 363,213,623.03/25,962.86
  6. Step 6: Final answer
    x = 13,989.74

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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.