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Finding the Fourth Proportional to 13,218.64, 18,242.14 and 7,250.25

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Solution

The fourth proportional to 13,218.64, 18,242.14 and 7,250.25 is: 10,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.64 : 18,242.14 = 7,250.25 : x
  2. Step 2: Convert to fraction form
    13,218.64/18,242.14 = 7,250.25/x
  3. Step 3: Cross multiply
    13,218.64x = 18,242.14 × 7,250.25
  4. Step 4: Simplify right side
    13,218.64x = 132,260,075.54
  5. Step 5: Solve for x
    x = 132,260,075.54/13,218.64
  6. Step 6: Final answer
    x = 10,005.57

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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.