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Finding the Fourth Proportional to 14,434, 21,651.63 and 4,574.01

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Solution

The fourth proportional to 14,434, 21,651.63 and 4,574.01 is: 6,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434 : 21,651.63 = 4,574.01 : x
  2. Step 2: Convert to fraction form
    14,434/21,651.63 = 4,574.01/x
  3. Step 3: Cross multiply
    14,434x = 21,651.63 × 4,574.01
  4. Step 4: Simplify right side
    14,434x = 99,034,772.14
  5. Step 5: Solve for x
    x = 99,034,772.14/14,434
  6. Step 6: Final answer
    x = 6,861.21

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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.