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Finding the Fourth Proportional to 25,914.64, 38,877.63 and 8,384.22

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Solution

The fourth proportional to 25,914.64, 38,877.63 and 8,384.22 is: 12,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.64 : 38,877.63 = 8,384.22 : x
  2. Step 2: Convert to fraction form
    25,914.64/38,877.63 = 8,384.22/x
  3. Step 3: Cross multiply
    25,914.64x = 38,877.63 × 8,384.22
  4. Step 4: Simplify right side
    25,914.64x = 325,958,603.00
  5. Step 5: Solve for x
    x = 325,958,603.00/25,914.64
  6. Step 6: Final answer
    x = 12,578.16

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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.