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Finding the Fourth Proportional to 19,842.24, 29,768.40 and 14,010.24

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Solution

The fourth proportional to 19,842.24, 29,768.40 and 14,010.24 is: 21,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.24 : 29,768.40 = 14,010.24 : x
  2. Step 2: Convert to fraction form
    19,842.24/29,768.40 = 14,010.24/x
  3. Step 3: Cross multiply
    19,842.24x = 29,768.40 × 14,010.24
  4. Step 4: Simplify right side
    19,842.24x = 417,062,428.42
  5. Step 5: Solve for x
    x = 417,062,428.42/19,842.24
  6. Step 6: Final answer
    x = 21,018.92

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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.