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Finding the Fourth Proportional to 27,700.86, 41,551.70 and 6,924.36

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Solution

The fourth proportional to 27,700.86, 41,551.70 and 6,924.36 is: 10,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.86 : 41,551.70 = 6,924.36 : x
  2. Step 2: Convert to fraction form
    27,700.86/41,551.70 = 6,924.36/x
  3. Step 3: Cross multiply
    27,700.86x = 41,551.70 × 6,924.36
  4. Step 4: Simplify right side
    27,700.86x = 287,718,894.79
  5. Step 5: Solve for x
    x = 287,718,894.79/27,700.86
  6. Step 6: Final answer
    x = 10,386.64

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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.