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Finding the Fourth Proportional to 23,075.82, 31,842.09 and 13,004.01

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Solution

The fourth proportional to 23,075.82, 31,842.09 and 13,004.01 is: 17,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.82 : 31,842.09 = 13,004.01 : x
  2. Step 2: Convert to fraction form
    23,075.82/31,842.09 = 13,004.01/x
  3. Step 3: Cross multiply
    23,075.82x = 31,842.09 × 13,004.01
  4. Step 4: Simplify right side
    23,075.82x = 414,074,856.78
  5. Step 5: Solve for x
    x = 414,074,856.78/23,075.82
  6. Step 6: Final answer
    x = 17,944.10

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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.