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Finding the Fourth Proportional to 16,002.80, 22,436.74 and 16,002.80

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Solution

The fourth proportional to 16,002.80, 22,436.74 and 16,002.80 is: 22,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.80 : 22,436.74 = 16,002.80 : x
  2. Step 2: Convert to fraction form
    16,002.80/22,436.74 = 16,002.80/x
  3. Step 3: Cross multiply
    16,002.80x = 22,436.74 × 16,002.80
  4. Step 4: Simplify right side
    16,002.80x = 359,050,662.87
  5. Step 5: Solve for x
    x = 359,050,662.87/16,002.80
  6. Step 6: Final answer
    x = 22,436.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.