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Finding the Fourth Proportional to 13,412.24, 18,504.61 and 7,746.24

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Solution

The fourth proportional to 13,412.24, 18,504.61 and 7,746.24 is: 10,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.24 : 18,504.61 = 7,746.24 : x
  2. Step 2: Convert to fraction form
    13,412.24/18,504.61 = 7,746.24/x
  3. Step 3: Cross multiply
    13,412.24x = 18,504.61 × 7,746.24
  4. Step 4: Simplify right side
    13,412.24x = 143,341,111.44
  5. Step 5: Solve for x
    x = 143,341,111.44/13,412.24
  6. Step 6: Final answer
    x = 10,687.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.