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Finding the Fourth Proportional to 26,493.65, 39,746.62 and 7,772.93

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Solution

The fourth proportional to 26,493.65, 39,746.62 and 7,772.93 is: 11,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,493.65 : 39,746.62 = 7,772.93 : x
  2. Step 2: Convert to fraction form
    26,493.65/39,746.62 = 7,772.93/x
  3. Step 3: Cross multiply
    26,493.65x = 39,746.62 × 7,772.93
  4. Step 4: Simplify right side
    26,493.65x = 308,947,515.70
  5. Step 5: Solve for x
    x = 308,947,515.70/26,493.65
  6. Step 6: Final answer
    x = 11,661.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.