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Finding the Fourth Proportional to 27,352.14, 37,746 and 14,776.92

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Solution

The fourth proportional to 27,352.14, 37,746 and 14,776.92 is: 20,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352.14 : 37,746 = 14,776.92 : x
  2. Step 2: Convert to fraction form
    27,352.14/37,746 = 14,776.92/x
  3. Step 3: Cross multiply
    27,352.14x = 37,746 × 14,776.92
  4. Step 4: Simplify right side
    27,352.14x = 557,769,622.32
  5. Step 5: Solve for x
    x = 557,769,622.32/27,352.14
  6. Step 6: Final answer
    x = 20,392.17

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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.