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Finding the Fourth Proportional to 25,464.58, 38,175.15 and 9,660.77

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Solution

The fourth proportional to 25,464.58, 38,175.15 and 9,660.77 is: 14,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464.58 : 38,175.15 = 9,660.77 : x
  2. Step 2: Convert to fraction form
    25,464.58/38,175.15 = 9,660.77/x
  3. Step 3: Cross multiply
    25,464.58x = 38,175.15 × 9,660.77
  4. Step 4: Simplify right side
    25,464.58x = 368,801,278.03
  5. Step 5: Solve for x
    x = 368,801,278.03/25,464.58
  6. Step 6: Final answer
    x = 14,482.91

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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.