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Finding the Fourth Proportional to 14,548.53, 21,826.04 and 6,228.93

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Solution

The fourth proportional to 14,548.53, 21,826.04 and 6,228.93 is: 9,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.53 : 21,826.04 = 6,228.93 : x
  2. Step 2: Convert to fraction form
    14,548.53/21,826.04 = 6,228.93/x
  3. Step 3: Cross multiply
    14,548.53x = 21,826.04 × 6,228.93
  4. Step 4: Simplify right side
    14,548.53x = 135,952,844.19
  5. Step 5: Solve for x
    x = 135,952,844.19/14,548.53
  6. Step 6: Final answer
    x = 9,344.78

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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.