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Finding the Fourth Proportional to 13,033.35, 17,986.10 and 7,064.98

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Solution

The fourth proportional to 13,033.35, 17,986.10 and 7,064.98 is: 9,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.35 : 17,986.10 = 7,064.98 : x
  2. Step 2: Convert to fraction form
    13,033.35/17,986.10 = 7,064.98/x
  3. Step 3: Cross multiply
    13,033.35x = 17,986.10 × 7,064.98
  4. Step 4: Simplify right side
    13,033.35x = 127,071,356.49
  5. Step 5: Solve for x
    x = 127,071,356.49/13,033.35
  6. Step 6: Final answer
    x = 9,749.71

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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.