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Finding the Fourth Proportional to 25,503.15, 38,257.64 and 6,783.95

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Solution

The fourth proportional to 25,503.15, 38,257.64 and 6,783.95 is: 10,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503.15 : 38,257.64 = 6,783.95 : x
  2. Step 2: Convert to fraction form
    25,503.15/38,257.64 = 6,783.95/x
  3. Step 3: Cross multiply
    25,503.15x = 38,257.64 × 6,783.95
  4. Step 4: Simplify right side
    25,503.15x = 259,538,023.12
  5. Step 5: Solve for x
    x = 259,538,023.12/25,503.15
  6. Step 6: Final answer
    x = 10,176.70

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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.