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Finding the Fourth Proportional to 14,315, 21,473.58 and 5,081

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Solution

The fourth proportional to 14,315, 21,473.58 and 5,081 is: 7,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315 : 21,473.58 = 5,081 : x
  2. Step 2: Convert to fraction form
    14,315/21,473.58 = 5,081/x
  3. Step 3: Cross multiply
    14,315x = 21,473.58 × 5,081
  4. Step 4: Simplify right side
    14,315x = 109,107,259.98
  5. Step 5: Solve for x
    x = 109,107,259.98/14,315
  6. Step 6: Final answer
    x = 7,621.88

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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.