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Finding the Fourth Proportional to 27,417.74, 41,120.51 and 7,698.29

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Solution

The fourth proportional to 27,417.74, 41,120.51 and 7,698.29 is: 11,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.74 : 41,120.51 = 7,698.29 : x
  2. Step 2: Convert to fraction form
    27,417.74/41,120.51 = 7,698.29/x
  3. Step 3: Cross multiply
    27,417.74x = 41,120.51 × 7,698.29
  4. Step 4: Simplify right side
    27,417.74x = 316,557,366.83
  5. Step 5: Solve for x
    x = 316,557,366.83/27,417.74
  6. Step 6: Final answer
    x = 11,545.72

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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.