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Finding the Fourth Proportional to 24,313.57, 36,476.51 and 6,783.39

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Solution

The fourth proportional to 24,313.57, 36,476.51 and 6,783.39 is: 10,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.57 : 36,476.51 = 6,783.39 : x
  2. Step 2: Convert to fraction form
    24,313.57/36,476.51 = 6,783.39/x
  3. Step 3: Cross multiply
    24,313.57x = 36,476.51 × 6,783.39
  4. Step 4: Simplify right side
    24,313.57x = 247,434,393.17
  5. Step 5: Solve for x
    x = 247,434,393.17/24,313.57
  6. Step 6: Final answer
    x = 10,176.80

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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.