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Finding the Fourth Proportional to 26,501.42, 39,750.92 and 7,780.70

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Solution

The fourth proportional to 26,501.42, 39,750.92 and 7,780.70 is: 11,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.42 : 39,750.92 = 7,780.70 : x
  2. Step 2: Convert to fraction form
    26,501.42/39,750.92 = 7,780.70/x
  3. Step 3: Cross multiply
    26,501.42x = 39,750.92 × 7,780.70
  4. Step 4: Simplify right side
    26,501.42x = 309,289,983.24
  5. Step 5: Solve for x
    x = 309,289,983.24/26,501.42
  6. Step 6: Final answer
    x = 11,670.69

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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.