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Finding the Fourth Proportional to 18,533.43, 27,786 and 6,045.93

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Solution

The fourth proportional to 18,533.43, 27,786 and 6,045.93 is: 9,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.43 : 27,786 = 6,045.93 : x
  2. Step 2: Convert to fraction form
    18,533.43/27,786 = 6,045.93/x
  3. Step 3: Cross multiply
    18,533.43x = 27,786 × 6,045.93
  4. Step 4: Simplify right side
    18,533.43x = 167,992,210.98
  5. Step 5: Solve for x
    x = 167,992,210.98/18,533.43
  6. Step 6: Final answer
    x = 9,064.28

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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.