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Finding the Fourth Proportional to 12,304.17, 18,430.07 and 6,443.01

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Solution

The fourth proportional to 12,304.17, 18,430.07 and 6,443.01 is: 9,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.17 : 18,430.07 = 6,443.01 : x
  2. Step 2: Convert to fraction form
    12,304.17/18,430.07 = 6,443.01/x
  3. Step 3: Cross multiply
    12,304.17x = 18,430.07 × 6,443.01
  4. Step 4: Simplify right side
    12,304.17x = 118,745,093.10
  5. Step 5: Solve for x
    x = 118,745,093.10/12,304.17
  6. Step 6: Final answer
    x = 9,650.80

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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.