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Finding the Fourth Proportional to 13,075.78, 19,602.62 and 5,674.66

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Solution

The fourth proportional to 13,075.78, 19,602.62 and 5,674.66 is: 8,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.78 : 19,602.62 = 5,674.66 : x
  2. Step 2: Convert to fraction form
    13,075.78/19,602.62 = 5,674.66/x
  3. Step 3: Cross multiply
    13,075.78x = 19,602.62 × 5,674.66
  4. Step 4: Simplify right side
    13,075.78x = 111,238,203.61
  5. Step 5: Solve for x
    x = 111,238,203.61/13,075.78
  6. Step 6: Final answer
    x = 8,507.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.