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Finding the Fourth Proportional to 14,322.76, 21,476.88 and 4,961.80

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Solution

The fourth proportional to 14,322.76, 21,476.88 and 4,961.80 is: 7,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.76 : 21,476.88 = 4,961.80 : x
  2. Step 2: Convert to fraction form
    14,322.76/21,476.88 = 4,961.80/x
  3. Step 3: Cross multiply
    14,322.76x = 21,476.88 × 4,961.80
  4. Step 4: Simplify right side
    14,322.76x = 106,563,983.18
  5. Step 5: Solve for x
    x = 106,563,983.18/14,322.76
  6. Step 6: Final answer
    x = 7,440.18

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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.