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Finding the Fourth Proportional to 18,178.90, 25,089.86 and 11,468.16

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Solution

The fourth proportional to 18,178.90, 25,089.86 and 11,468.16 is: 15,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178.90 : 25,089.86 = 11,468.16 : x
  2. Step 2: Convert to fraction form
    18,178.90/25,089.86 = 11,468.16/x
  3. Step 3: Cross multiply
    18,178.90x = 25,089.86 × 11,468.16
  4. Step 4: Simplify right side
    18,178.90x = 287,734,528.86
  5. Step 5: Solve for x
    x = 287,734,528.86/18,178.90
  6. Step 6: Final answer
    x = 15,827.94

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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.