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Finding the Fourth Proportional to 15,650.94, 23,460 and 7,323.95

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Solution

The fourth proportional to 15,650.94, 23,460 and 7,323.95 is: 10,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,650.94 : 23,460 = 7,323.95 : x
  2. Step 2: Convert to fraction form
    15,650.94/23,460 = 7,323.95/x
  3. Step 3: Cross multiply
    15,650.94x = 23,460 × 7,323.95
  4. Step 4: Simplify right side
    15,650.94x = 171,819,749.70
  5. Step 5: Solve for x
    x = 171,819,749.70/15,650.94
  6. Step 6: Final answer
    x = 10,978.24

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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.