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Finding the Fourth Proportional to 25,385.63, 38,084.39 and 7,854.53

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Solution

The fourth proportional to 25,385.63, 38,084.39 and 7,854.53 is: 11,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,385.63 : 38,084.39 = 7,854.53 : x
  2. Step 2: Convert to fraction form
    25,385.63/38,084.39 = 7,854.53/x
  3. Step 3: Cross multiply
    25,385.63x = 38,084.39 × 7,854.53
  4. Step 4: Simplify right side
    25,385.63x = 299,135,069.18
  5. Step 5: Solve for x
    x = 299,135,069.18/25,385.63
  6. Step 6: Final answer
    x = 11,783.64

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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.