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Finding the Fourth Proportional to 26,024, 39,040.92 and 10,442.84

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Solution

The fourth proportional to 26,024, 39,040.92 and 10,442.84 is: 15,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,024 : 39,040.92 = 10,442.84 : x
  2. Step 2: Convert to fraction form
    26,024/39,040.92 = 10,442.84/x
  3. Step 3: Cross multiply
    26,024x = 39,040.92 × 10,442.84
  4. Step 4: Simplify right side
    26,024x = 407,698,081.01
  5. Step 5: Solve for x
    x = 407,698,081.01/26,024
  6. Step 6: Final answer
    x = 15,666.23

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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.