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Finding the Fourth Proportional to 13,033.49, 17,986.24 and 7,065.16

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Solution

The fourth proportional to 13,033.49, 17,986.24 and 7,065.16 is: 9,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.49 : 17,986.24 = 7,065.16 : x
  2. Step 2: Convert to fraction form
    13,033.49/17,986.24 = 7,065.16/x
  3. Step 3: Cross multiply
    13,033.49x = 17,986.24 × 7,065.16
  4. Step 4: Simplify right side
    13,033.49x = 127,075,573.47
  5. Step 5: Solve for x
    x = 127,075,573.47/13,033.49
  6. Step 6: Final answer
    x = 9,749.93

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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.