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Finding the Fourth Proportional to 14,733.84, 22,101.48 and 4,872.84

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Solution

The fourth proportional to 14,733.84, 22,101.48 and 4,872.84 is: 7,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.84 : 22,101.48 = 4,872.84 : x
  2. Step 2: Convert to fraction form
    14,733.84/22,101.48 = 4,872.84/x
  3. Step 3: Cross multiply
    14,733.84x = 22,101.48 × 4,872.84
  4. Step 4: Simplify right side
    14,733.84x = 107,696,975.80
  5. Step 5: Solve for x
    x = 107,696,975.80/14,733.84
  6. Step 6: Final answer
    x = 7,309.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.