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Finding the Fourth Proportional to 14,496.80, 21,746.80 and 4,634.40

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Solution

The fourth proportional to 14,496.80, 21,746.80 and 4,634.40 is: 6,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.80 : 21,746.80 = 4,634.40 : x
  2. Step 2: Convert to fraction form
    14,496.80/21,746.80 = 4,634.40/x
  3. Step 3: Cross multiply
    14,496.80x = 21,746.80 × 4,634.40
  4. Step 4: Simplify right side
    14,496.80x = 100,783,369.92
  5. Step 5: Solve for x
    x = 100,783,369.92/14,496.80
  6. Step 6: Final answer
    x = 6,952.11

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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.