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Finding the Fourth Proportional to 24,442.75, 36,666.09 and 7,805.15

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Solution

The fourth proportional to 24,442.75, 36,666.09 and 7,805.15 is: 11,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.75 : 36,666.09 = 7,805.15 : x
  2. Step 2: Convert to fraction form
    24,442.75/36,666.09 = 7,805.15/x
  3. Step 3: Cross multiply
    24,442.75x = 36,666.09 × 7,805.15
  4. Step 4: Simplify right side
    24,442.75x = 286,184,149.03
  5. Step 5: Solve for x
    x = 286,184,149.03/24,442.75
  6. Step 6: Final answer
    x = 11,708.35

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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.