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Finding the Fourth Proportional to 25,804.32, 35,604.24 and 16,384.80

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Solution

The fourth proportional to 25,804.32, 35,604.24 and 16,384.80 is: 22,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804.32 : 35,604.24 = 16,384.80 : x
  2. Step 2: Convert to fraction form
    25,804.32/35,604.24 = 16,384.80/x
  3. Step 3: Cross multiply
    25,804.32x = 35,604.24 × 16,384.80
  4. Step 4: Simplify right side
    25,804.32x = 583,368,351.55
  5. Step 5: Solve for x
    x = 583,368,351.55/25,804.32
  6. Step 6: Final answer
    x = 22,607.39

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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.