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Finding the Fourth Proportional to 15,842.25, 21,842.42 and 10,166.99

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Solution

The fourth proportional to 15,842.25, 21,842.42 and 10,166.99 is: 14,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.25 : 21,842.42 = 10,166.99 : x
  2. Step 2: Convert to fraction form
    15,842.25/21,842.42 = 10,166.99/x
  3. Step 3: Cross multiply
    15,842.25x = 21,842.42 × 10,166.99
  4. Step 4: Simplify right side
    15,842.25x = 222,071,505.67
  5. Step 5: Solve for x
    x = 222,071,505.67/15,842.25
  6. Step 6: Final answer
    x = 14,017.67

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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.