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Finding the Fourth Proportional to 23,762.88, 35,644.68 and 8,978.76

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Solution

The fourth proportional to 23,762.88, 35,644.68 and 8,978.76 is: 13,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.88 : 35,644.68 = 8,978.76 : x
  2. Step 2: Convert to fraction form
    23,762.88/35,644.68 = 8,978.76/x
  3. Step 3: Cross multiply
    23,762.88x = 35,644.68 × 8,978.76
  4. Step 4: Simplify right side
    23,762.88x = 320,045,027.00
  5. Step 5: Solve for x
    x = 320,045,027.00/23,762.88
  6. Step 6: Final answer
    x = 13,468.28

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1.5x scale

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.