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Finding the Fourth Proportional to 22,993.29, 34,492.37 and 9,842.13

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Solution

The fourth proportional to 22,993.29, 34,492.37 and 9,842.13 is: 14,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.29 : 34,492.37 = 9,842.13 : x
  2. Step 2: Convert to fraction form
    22,993.29/34,492.37 = 9,842.13/x
  3. Step 3: Cross multiply
    22,993.29x = 34,492.37 × 9,842.13
  4. Step 4: Simplify right side
    22,993.29x = 339,478,340.34
  5. Step 5: Solve for x
    x = 339,478,340.34/22,993.29
  6. Step 6: Final answer
    x = 14,764.24

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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.