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Finding the Fourth Proportional to 23,218, 34,827.81 and 7,636.84

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Solution

The fourth proportional to 23,218, 34,827.81 and 7,636.84 is: 11,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218 : 34,827.81 = 7,636.84 : x
  2. Step 2: Convert to fraction form
    23,218/34,827.81 = 7,636.84/x
  3. Step 3: Cross multiply
    23,218x = 34,827.81 × 7,636.84
  4. Step 4: Simplify right side
    23,218x = 265,974,412.52
  5. Step 5: Solve for x
    x = 265,974,412.52/23,218
  6. Step 6: Final answer
    x = 11,455.53

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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.