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Finding the Fourth Proportional to 23,340.84, 34,988.94 and 7,747.50

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Solution

The fourth proportional to 23,340.84, 34,988.94 and 7,747.50 is: 11,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,340.84 : 34,988.94 = 7,747.50 : x
  2. Step 2: Convert to fraction form
    23,340.84/34,988.94 = 7,747.50/x
  3. Step 3: Cross multiply
    23,340.84x = 34,988.94 × 7,747.50
  4. Step 4: Simplify right side
    23,340.84x = 271,076,812.65
  5. Step 5: Solve for x
    x = 271,076,812.65/23,340.84
  6. Step 6: Final answer
    x = 11,613.84

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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.