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Finding the Fourth Proportional to 24,423.35, 36,634.62 and 7,783.16

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Solution

The fourth proportional to 24,423.35, 36,634.62 and 7,783.16 is: 11,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.35 : 36,634.62 = 7,783.16 : x
  2. Step 2: Convert to fraction form
    24,423.35/36,634.62 = 7,783.16/x
  3. Step 3: Cross multiply
    24,423.35x = 36,634.62 × 7,783.16
  4. Step 4: Simplify right side
    24,423.35x = 285,133,109.00
  5. Step 5: Solve for x
    x = 285,133,109.00/24,423.35
  6. Step 6: Final answer
    x = 11,674.61

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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.