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Finding the Fourth Proportional to 25,813.08, 38,710.98 and 8,278.74

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Solution

The fourth proportional to 25,813.08, 38,710.98 and 8,278.74 is: 12,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.08 : 38,710.98 = 8,278.74 : x
  2. Step 2: Convert to fraction form
    25,813.08/38,710.98 = 8,278.74/x
  3. Step 3: Cross multiply
    25,813.08x = 38,710.98 × 8,278.74
  4. Step 4: Simplify right side
    25,813.08x = 320,478,138.57
  5. Step 5: Solve for x
    x = 320,478,138.57/25,813.08
  6. Step 6: Final answer
    x = 12,415.34

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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.