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Finding the Fourth Proportional to 19,673.84, 29,493.02 and 7,185

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Solution

The fourth proportional to 19,673.84, 29,493.02 and 7,185 is: 10,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.84 : 29,493.02 = 7,185 : x
  2. Step 2: Convert to fraction form
    19,673.84/29,493.02 = 7,185/x
  3. Step 3: Cross multiply
    19,673.84x = 29,493.02 × 7,185
  4. Step 4: Simplify right side
    19,673.84x = 211,907,348.70
  5. Step 5: Solve for x
    x = 211,907,348.70/19,673.84
  6. Step 6: Final answer
    x = 10,771.02

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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.