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Finding the Fourth Proportional to 18,102.30, 27,140.58 and 6,999.63

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Solution

The fourth proportional to 18,102.30, 27,140.58 and 6,999.63 is: 10,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.30 : 27,140.58 = 6,999.63 : x
  2. Step 2: Convert to fraction form
    18,102.30/27,140.58 = 6,999.63/x
  3. Step 3: Cross multiply
    18,102.30x = 27,140.58 × 6,999.63
  4. Step 4: Simplify right side
    18,102.30x = 189,974,017.99
  5. Step 5: Solve for x
    x = 189,974,017.99/18,102.30
  6. Step 6: Final answer
    x = 10,494.47

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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.