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Finding the Fourth Proportional to 14,599.13, 21,896.63 and 4,738.49

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Solution

The fourth proportional to 14,599.13, 21,896.63 and 4,738.49 is: 7,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599.13 : 21,896.63 = 4,738.49 : x
  2. Step 2: Convert to fraction form
    14,599.13/21,896.63 = 4,738.49/x
  3. Step 3: Cross multiply
    14,599.13x = 21,896.63 × 4,738.49
  4. Step 4: Simplify right side
    14,599.13x = 103,756,962.29
  5. Step 5: Solve for x
    x = 103,756,962.29/14,599.13
  6. Step 6: Final answer
    x = 7,107.06

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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.