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Finding the Fourth Proportional to 16,004.84, 23,978.48 and 9,427.46

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Solution

The fourth proportional to 16,004.84, 23,978.48 and 9,427.46 is: 14,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.84 : 23,978.48 = 9,427.46 : x
  2. Step 2: Convert to fraction form
    16,004.84/23,978.48 = 9,427.46/x
  3. Step 3: Cross multiply
    16,004.84x = 23,978.48 × 9,427.46
  4. Step 4: Simplify right side
    16,004.84x = 226,055,994.03
  5. Step 5: Solve for x
    x = 226,055,994.03/16,004.84
  6. Step 6: Final answer
    x = 14,124.23

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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.