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Finding the Fourth Proportional to 18,892.67, 26,071.81 and 10,509.17

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Solution

The fourth proportional to 18,892.67, 26,071.81 and 10,509.17 is: 14,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,892.67 : 26,071.81 = 10,509.17 : x
  2. Step 2: Convert to fraction form
    18,892.67/26,071.81 = 10,509.17/x
  3. Step 3: Cross multiply
    18,892.67x = 26,071.81 × 10,509.17
  4. Step 4: Simplify right side
    18,892.67x = 273,993,083.50
  5. Step 5: Solve for x
    x = 273,993,083.50/18,892.67
  6. Step 6: Final answer
    x = 14,502.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.