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Finding the Fourth Proportional to 25,518.72, 35,214 and 14,188.40

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Solution

The fourth proportional to 25,518.72, 35,214 and 14,188.40 is: 19,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,518.72 : 35,214 = 14,188.40 : x
  2. Step 2: Convert to fraction form
    25,518.72/35,214 = 14,188.40/x
  3. Step 3: Cross multiply
    25,518.72x = 35,214 × 14,188.40
  4. Step 4: Simplify right side
    25,518.72x = 499,630,317.60
  5. Step 5: Solve for x
    x = 499,630,317.60/25,518.72
  6. Step 6: Final answer
    x = 19,578.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.