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Finding the Fourth Proportional to 13,097.40, 18,075.39 and 7,433.13

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Solution

The fourth proportional to 13,097.40, 18,075.39 and 7,433.13 is: 10,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.40 : 18,075.39 = 7,433.13 : x
  2. Step 2: Convert to fraction form
    13,097.40/18,075.39 = 7,433.13/x
  3. Step 3: Cross multiply
    13,097.40x = 18,075.39 × 7,433.13
  4. Step 4: Simplify right side
    13,097.40x = 134,356,723.67
  5. Step 5: Solve for x
    x = 134,356,723.67/13,097.40
  6. Step 6: Final answer
    x = 10,258.27

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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.