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Finding the Fourth Proportional to 20,783.99, 31,185.12 and 10,920.98

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Solution

The fourth proportional to 20,783.99, 31,185.12 and 10,920.98 is: 16,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.99 : 31,185.12 = 10,920.98 : x
  2. Step 2: Convert to fraction form
    20,783.99/31,185.12 = 10,920.98/x
  3. Step 3: Cross multiply
    20,783.99x = 31,185.12 × 10,920.98
  4. Step 4: Simplify right side
    20,783.99x = 340,572,071.82
  5. Step 5: Solve for x
    x = 340,572,071.82/20,783.99
  6. Step 6: Final answer
    x = 16,386.27

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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.