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Finding the Fourth Proportional to 20,696.48, 31,047 and 7,551.70

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Solution

The fourth proportional to 20,696.48, 31,047 and 7,551.70 is: 11,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.48 : 31,047 = 7,551.70 : x
  2. Step 2: Convert to fraction form
    20,696.48/31,047 = 7,551.70/x
  3. Step 3: Cross multiply
    20,696.48x = 31,047 × 7,551.70
  4. Step 4: Simplify right side
    20,696.48x = 234,457,629.90
  5. Step 5: Solve for x
    x = 234,457,629.90/20,696.48
  6. Step 6: Final answer
    x = 11,328.38

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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.