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Finding the Fourth Proportional to 16,438.70, 22,684.62 and 10,075.88

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Solution

The fourth proportional to 16,438.70, 22,684.62 and 10,075.88 is: 13,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.70 : 22,684.62 = 10,075.88 : x
  2. Step 2: Convert to fraction form
    16,438.70/22,684.62 = 10,075.88/x
  3. Step 3: Cross multiply
    16,438.70x = 22,684.62 × 10,075.88
  4. Step 4: Simplify right side
    16,438.70x = 228,567,508.97
  5. Step 5: Solve for x
    x = 228,567,508.97/16,438.70
  6. Step 6: Final answer
    x = 13,904.23

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