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Finding the Fourth Proportional to 12,018, 16,584.84 and 7,301.37

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Solution

The fourth proportional to 12,018, 16,584.84 and 7,301.37 is: 10,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018 : 16,584.84 = 7,301.37 : x
  2. Step 2: Convert to fraction form
    12,018/16,584.84 = 7,301.37/x
  3. Step 3: Cross multiply
    12,018x = 16,584.84 × 7,301.37
  4. Step 4: Simplify right side
    12,018x = 121,092,053.23
  5. Step 5: Solve for x
    x = 121,092,053.23/12,018
  6. Step 6: Final answer
    x = 10,075.89

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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.