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Finding the Fourth Proportional to 22,809.84, 34,208.28 and 14,477.28

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Solution

The fourth proportional to 22,809.84, 34,208.28 and 14,477.28 is: 21,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.84 : 34,208.28 = 14,477.28 : x
  2. Step 2: Convert to fraction form
    22,809.84/34,208.28 = 14,477.28/x
  3. Step 3: Cross multiply
    22,809.84x = 34,208.28 × 14,477.28
  4. Step 4: Simplify right side
    22,809.84x = 495,242,847.88
  5. Step 5: Solve for x
    x = 495,242,847.88/22,809.84
  6. Step 6: Final answer
    x = 21,711.81

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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.