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Finding the Fourth Proportional to 13,098.36, 18,075.42 and 7,509

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Solution

The fourth proportional to 13,098.36, 18,075.42 and 7,509 is: 10,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.36 : 18,075.42 = 7,509 : x
  2. Step 2: Convert to fraction form
    13,098.36/18,075.42 = 7,509/x
  3. Step 3: Cross multiply
    13,098.36x = 18,075.42 × 7,509
  4. Step 4: Simplify right side
    13,098.36x = 135,728,328.78
  5. Step 5: Solve for x
    x = 135,728,328.78/13,098.36
  6. Step 6: Final answer
    x = 10,362.24

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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.