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Finding the Fourth Proportional to 15,614, 23,419.28 and 3,927.23

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Solution

The fourth proportional to 15,614, 23,419.28 and 3,927.23 is: 5,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614 : 23,419.28 = 3,927.23 : x
  2. Step 2: Convert to fraction form
    15,614/23,419.28 = 3,927.23/x
  3. Step 3: Cross multiply
    15,614x = 23,419.28 × 3,927.23
  4. Step 4: Simplify right side
    15,614x = 91,972,762.26
  5. Step 5: Solve for x
    x = 91,972,762.26/15,614
  6. Step 6: Final answer
    x = 5,890.40

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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.