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Finding the Fourth Proportional to 18,561.72, 27,858.90 and 9,802.52

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Solution

The fourth proportional to 18,561.72, 27,858.90 and 9,802.52 is: 14,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.72 : 27,858.90 = 9,802.52 : x
  2. Step 2: Convert to fraction form
    18,561.72/27,858.90 = 9,802.52/x
  3. Step 3: Cross multiply
    18,561.72x = 27,858.90 × 9,802.52
  4. Step 4: Simplify right side
    18,561.72x = 273,087,424.43
  5. Step 5: Solve for x
    x = 273,087,424.43/18,561.72
  6. Step 6: Final answer
    x = 14,712.40

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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.