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Finding the Fourth Proportional to 13,052.21, 17,998.44 and 7,746.00

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Solution

The fourth proportional to 13,052.21, 17,998.44 and 7,746.00 is: 10,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.21 : 17,998.44 = 7,746.00 : x
  2. Step 2: Convert to fraction form
    13,052.21/17,998.44 = 7,746.00/x
  3. Step 3: Cross multiply
    13,052.21x = 17,998.44 × 7,746.00
  4. Step 4: Simplify right side
    13,052.21x = 139,416,004.24
  5. Step 5: Solve for x
    x = 139,416,004.24/13,052.21
  6. Step 6: Final answer
    x = 10,681.41

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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.