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Finding the Fourth Proportional to 27,345.12, 41,022 and 9,580.72

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Solution

The fourth proportional to 27,345.12, 41,022 and 9,580.72 is: 14,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345.12 : 41,022 = 9,580.72 : x
  2. Step 2: Convert to fraction form
    27,345.12/41,022 = 9,580.72/x
  3. Step 3: Cross multiply
    27,345.12x = 41,022 × 9,580.72
  4. Step 4: Simplify right side
    27,345.12x = 393,020,295.84
  5. Step 5: Solve for x
    x = 393,020,295.84/27,345.12
  6. Step 6: Final answer
    x = 14,372.59

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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.