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Finding the Fourth Proportional to 23,284.84, 34,918.44 and 9,957.27

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Solution

The fourth proportional to 23,284.84, 34,918.44 and 9,957.27 is: 14,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.84 : 34,918.44 = 9,957.27 : x
  2. Step 2: Convert to fraction form
    23,284.84/34,918.44 = 9,957.27/x
  3. Step 3: Cross multiply
    23,284.84x = 34,918.44 × 9,957.27
  4. Step 4: Simplify right side
    23,284.84x = 347,692,484.67
  5. Step 5: Solve for x
    x = 347,692,484.67/23,284.84
  6. Step 6: Final answer
    x = 14,932.14

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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.