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Finding the Fourth Proportional to 14,963.09, 22,455 and 5,956.28

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Solution

The fourth proportional to 14,963.09, 22,455 and 5,956.28 is: 8,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.09 : 22,455 = 5,956.28 : x
  2. Step 2: Convert to fraction form
    14,963.09/22,455 = 5,956.28/x
  3. Step 3: Cross multiply
    14,963.09x = 22,455 × 5,956.28
  4. Step 4: Simplify right side
    14,963.09x = 133,748,267.40
  5. Step 5: Solve for x
    x = 133,748,267.40/14,963.09
  6. Step 6: Final answer
    x = 8,938.55

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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.