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Finding the Fourth Proportional to 16,577.60, 22,871.94 and 10,197.50

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Solution

The fourth proportional to 16,577.60, 22,871.94 and 10,197.50 is: 14,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.60 : 22,871.94 = 10,197.50 : x
  2. Step 2: Convert to fraction form
    16,577.60/22,871.94 = 10,197.50/x
  3. Step 3: Cross multiply
    16,577.60x = 22,871.94 × 10,197.50
  4. Step 4: Simplify right side
    16,577.60x = 233,236,608.15
  5. Step 5: Solve for x
    x = 233,236,608.15/16,577.60
  6. Step 6: Final answer
    x = 14,069.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.