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Finding the Fourth Proportional to 24,667.34, 37,007.09 and 7,138.94

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Solution

The fourth proportional to 24,667.34, 37,007.09 and 7,138.94 is: 10,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.34 : 37,007.09 = 7,138.94 : x
  2. Step 2: Convert to fraction form
    24,667.34/37,007.09 = 7,138.94/x
  3. Step 3: Cross multiply
    24,667.34x = 37,007.09 × 7,138.94
  4. Step 4: Simplify right side
    24,667.34x = 264,191,409.29
  5. Step 5: Solve for x
    x = 264,191,409.29/24,667.34
  6. Step 6: Final answer
    x = 10,710.17

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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.