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Finding the Fourth Proportional to 13,085.77, 19,626.54 and 5,688.22

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Solution

The fourth proportional to 13,085.77, 19,626.54 and 5,688.22 is: 8,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.77 : 19,626.54 = 5,688.22 : x
  2. Step 2: Convert to fraction form
    13,085.77/19,626.54 = 5,688.22/x
  3. Step 3: Cross multiply
    13,085.77x = 19,626.54 × 5,688.22
  4. Step 4: Simplify right side
    13,085.77x = 111,640,077.36
  5. Step 5: Solve for x
    x = 111,640,077.36/13,085.77
  6. Step 6: Final answer
    x = 8,531.41

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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.