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Finding the Fourth Proportional to 20,802.35, 31,185.97 and 9,703.19

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Solution

The fourth proportional to 20,802.35, 31,185.97 and 9,703.19 is: 14,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.35 : 31,185.97 = 9,703.19 : x
  2. Step 2: Convert to fraction form
    20,802.35/31,185.97 = 9,703.19/x
  3. Step 3: Cross multiply
    20,802.35x = 31,185.97 × 9,703.19
  4. Step 4: Simplify right side
    20,802.35x = 302,603,392.24
  5. Step 5: Solve for x
    x = 302,603,392.24/20,802.35
  6. Step 6: Final answer
    x = 14,546.60

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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.