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Finding the Fourth Proportional to 14,252.56, 19,663.73 and 9,223.14

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Solution

The fourth proportional to 14,252.56, 19,663.73 and 9,223.14 is: 12,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.56 : 19,663.73 = 9,223.14 : x
  2. Step 2: Convert to fraction form
    14,252.56/19,663.73 = 9,223.14/x
  3. Step 3: Cross multiply
    14,252.56x = 19,663.73 × 9,223.14
  4. Step 4: Simplify right side
    14,252.56x = 181,361,334.71
  5. Step 5: Solve for x
    x = 181,361,334.71/14,252.56
  6. Step 6: Final answer
    x = 12,724.83

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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.