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Finding the Fourth Proportional to 18,614.56, 27,925.74 and 5,465.86

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Solution

The fourth proportional to 18,614.56, 27,925.74 and 5,465.86 is: 8,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.56 : 27,925.74 = 5,465.86 : x
  2. Step 2: Convert to fraction form
    18,614.56/27,925.74 = 5,465.86/x
  3. Step 3: Cross multiply
    18,614.56x = 27,925.74 × 5,465.86
  4. Step 4: Simplify right side
    18,614.56x = 152,638,185.24
  5. Step 5: Solve for x
    x = 152,638,185.24/18,614.56
  6. Step 6: Final answer
    x = 8,199.94

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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.