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Finding the Fourth Proportional to 24,783.84, 37,168.08 and 8,364

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Solution

The fourth proportional to 24,783.84, 37,168.08 and 8,364 is: 12,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.84 : 37,168.08 = 8,364 : x
  2. Step 2: Convert to fraction form
    24,783.84/37,168.08 = 8,364/x
  3. Step 3: Cross multiply
    24,783.84x = 37,168.08 × 8,364
  4. Step 4: Simplify right side
    24,783.84x = 310,873,821.12
  5. Step 5: Solve for x
    x = 310,873,821.12/24,783.84
  6. Step 6: Final answer
    x = 12,543.41

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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.