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Finding the Fourth Proportional to 13,774.15, 19,007.76 and 7,724.06

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Solution

The fourth proportional to 13,774.15, 19,007.76 and 7,724.06 is: 10,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.15 : 19,007.76 = 7,724.06 : x
  2. Step 2: Convert to fraction form
    13,774.15/19,007.76 = 7,724.06/x
  3. Step 3: Cross multiply
    13,774.15x = 19,007.76 × 7,724.06
  4. Step 4: Simplify right side
    13,774.15x = 146,817,083.91
  5. Step 5: Solve for x
    x = 146,817,083.91/13,774.15
  6. Step 6: Final answer
    x = 10,658.88

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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.