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Finding the Fourth Proportional to 20,802.40, 31,181.52 and 9,696.16

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Solution

The fourth proportional to 20,802.40, 31,181.52 and 9,696.16 is: 14,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.40 : 31,181.52 = 9,696.16 : x
  2. Step 2: Convert to fraction form
    20,802.40/31,181.52 = 9,696.16/x
  3. Step 3: Cross multiply
    20,802.40x = 31,181.52 × 9,696.16
  4. Step 4: Simplify right side
    20,802.40x = 302,341,006.96
  5. Step 5: Solve for x
    x = 302,341,006.96/20,802.40
  6. Step 6: Final answer
    x = 14,533.95

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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.