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Finding the Fourth Proportional to 19,304.01, 28,956 and 6,817.25

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Solution

The fourth proportional to 19,304.01, 28,956 and 6,817.25 is: 10,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,304.01 : 28,956 = 6,817.25 : x
  2. Step 2: Convert to fraction form
    19,304.01/28,956 = 6,817.25/x
  3. Step 3: Cross multiply
    19,304.01x = 28,956 × 6,817.25
  4. Step 4: Simplify right side
    19,304.01x = 197,400,146.22
  5. Step 5: Solve for x
    x = 197,400,146.22/19,304.01
  6. Step 6: Final answer
    x = 10,225.86

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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.