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Finding the Fourth Proportional to 18,466.14, 27,699 and 4,615.14

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Solution

The fourth proportional to 18,466.14, 27,699 and 4,615.14 is: 6,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,466.14 : 27,699 = 4,615.14 : x
  2. Step 2: Convert to fraction form
    18,466.14/27,699 = 4,615.14/x
  3. Step 3: Cross multiply
    18,466.14x = 27,699 × 4,615.14
  4. Step 4: Simplify right side
    18,466.14x = 127,834,762.86
  5. Step 5: Solve for x
    x = 127,834,762.86/18,466.14
  6. Step 6: Final answer
    x = 6,922.66

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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.