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Finding the Fourth Proportional to 16,642.36, 24,970.02 and 7,884.64

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Solution

The fourth proportional to 16,642.36, 24,970.02 and 7,884.64 is: 11,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.36 : 24,970.02 = 7,884.64 : x
  2. Step 2: Convert to fraction form
    16,642.36/24,970.02 = 7,884.64/x
  3. Step 3: Cross multiply
    16,642.36x = 24,970.02 × 7,884.64
  4. Step 4: Simplify right side
    16,642.36x = 196,879,618.49
  5. Step 5: Solve for x
    x = 196,879,618.49/16,642.36
  6. Step 6: Final answer
    x = 11,830.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.