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Finding the Fourth Proportional to 30,794.39, 42,496.32 and 16,647.23

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Solution

The fourth proportional to 30,794.39, 42,496.32 and 16,647.23 is: 22,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.39 : 42,496.32 = 16,647.23 : x
  2. Step 2: Convert to fraction form
    30,794.39/42,496.32 = 16,647.23/x
  3. Step 3: Cross multiply
    30,794.39x = 42,496.32 × 16,647.23
  4. Step 4: Simplify right side
    30,794.39x = 707,445,800.71
  5. Step 5: Solve for x
    x = 707,445,800.71/30,794.39
  6. Step 6: Final answer
    x = 22,973.21

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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.