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Finding the Fourth Proportional to 22,534.16, 33,809.88 and 9,383

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Solution

The fourth proportional to 22,534.16, 33,809.88 and 9,383 is: 14,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.16 : 33,809.88 = 9,383 : x
  2. Step 2: Convert to fraction form
    22,534.16/33,809.88 = 9,383/x
  3. Step 3: Cross multiply
    22,534.16x = 33,809.88 × 9,383
  4. Step 4: Simplify right side
    22,534.16x = 317,238,104.04
  5. Step 5: Solve for x
    x = 317,238,104.04/22,534.16
  6. Step 6: Final answer
    x = 14,078.10

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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.