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Finding the Fourth Proportional to 18,256.15, 27,384.47 and 6,409.45

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Solution

The fourth proportional to 18,256.15, 27,384.47 and 6,409.45 is: 9,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256.15 : 27,384.47 = 6,409.45 : x
  2. Step 2: Convert to fraction form
    18,256.15/27,384.47 = 6,409.45/x
  3. Step 3: Cross multiply
    18,256.15x = 27,384.47 × 6,409.45
  4. Step 4: Simplify right side
    18,256.15x = 175,519,222.27
  5. Step 5: Solve for x
    x = 175,519,222.27/18,256.15
  6. Step 6: Final answer
    x = 9,614.25

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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.