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Finding the Fourth Proportional to 14,020.24, 19,347.84 and 7,732.48

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Solution

The fourth proportional to 14,020.24, 19,347.84 and 7,732.48 is: 10,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.24 : 19,347.84 = 7,732.48 : x
  2. Step 2: Convert to fraction form
    14,020.24/19,347.84 = 7,732.48/x
  3. Step 3: Cross multiply
    14,020.24x = 19,347.84 × 7,732.48
  4. Step 4: Simplify right side
    14,020.24x = 149,606,785.84
  5. Step 5: Solve for x
    x = 149,606,785.84/14,020.24
  6. Step 6: Final answer
    x = 10,670.77

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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.