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Finding the Fourth Proportional to 26,497.69, 39,746.76 and 7,778.03

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Solution

The fourth proportional to 26,497.69, 39,746.76 and 7,778.03 is: 11,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.69 : 39,746.76 = 7,778.03 : x
  2. Step 2: Convert to fraction form
    26,497.69/39,746.76 = 7,778.03/x
  3. Step 3: Cross multiply
    26,497.69x = 39,746.76 × 7,778.03
  4. Step 4: Simplify right side
    26,497.69x = 309,151,452.79
  5. Step 5: Solve for x
    x = 309,151,452.79/26,497.69
  6. Step 6: Final answer
    x = 11,667.11

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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.