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Finding the Fourth Proportional to 16,435.94, 22,675.34 and 10,057.40

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Solution

The fourth proportional to 16,435.94, 22,675.34 and 10,057.40 is: 13,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.94 : 22,675.34 = 10,057.40 : x
  2. Step 2: Convert to fraction form
    16,435.94/22,675.34 = 10,057.40/x
  3. Step 3: Cross multiply
    16,435.94x = 22,675.34 × 10,057.40
  4. Step 4: Simplify right side
    16,435.94x = 228,054,800.85
  5. Step 5: Solve for x
    x = 228,054,800.85/16,435.94
  6. Step 6: Final answer
    x = 13,875.38

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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.