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Finding the Fourth Proportional to 25,095.88, 37,653.74 and 9,517.64

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Solution

The fourth proportional to 25,095.88, 37,653.74 and 9,517.64 is: 14,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,095.88 : 37,653.74 = 9,517.64 : x
  2. Step 2: Convert to fraction form
    25,095.88/37,653.74 = 9,517.64/x
  3. Step 3: Cross multiply
    25,095.88x = 37,653.74 × 9,517.64
  4. Step 4: Simplify right side
    25,095.88x = 358,374,741.97
  5. Step 5: Solve for x
    x = 358,374,741.97/25,095.88
  6. Step 6: Final answer
    x = 14,280.22

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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.