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Finding the Fourth Proportional to 24,336.40, 36,501.46 and 7,698.12

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Solution

The fourth proportional to 24,336.40, 36,501.46 and 7,698.12 is: 11,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336.40 : 36,501.46 = 7,698.12 : x
  2. Step 2: Convert to fraction form
    24,336.40/36,501.46 = 7,698.12/x
  3. Step 3: Cross multiply
    24,336.40x = 36,501.46 × 7,698.12
  4. Step 4: Simplify right side
    24,336.40x = 280,992,619.26
  5. Step 5: Solve for x
    x = 280,992,619.26/24,336.40
  6. Step 6: Final answer
    x = 11,546.19

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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.