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Finding the Fourth Proportional to 14,531.04, 21,797.64 and 4,674.96

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Solution

The fourth proportional to 14,531.04, 21,797.64 and 4,674.96 is: 7,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.04 : 21,797.64 = 4,674.96 : x
  2. Step 2: Convert to fraction form
    14,531.04/21,797.64 = 4,674.96/x
  3. Step 3: Cross multiply
    14,531.04x = 21,797.64 × 4,674.96
  4. Step 4: Simplify right side
    14,531.04x = 101,903,095.09
  5. Step 5: Solve for x
    x = 101,903,095.09/14,531.04
  6. Step 6: Final answer
    x = 7,012.79

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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.