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Finding the Fourth Proportional to 12,374.81, 17,075.96 and 7,594.96

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Solution

The fourth proportional to 12,374.81, 17,075.96 and 7,594.96 is: 10,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.81 : 17,075.96 = 7,594.96 : x
  2. Step 2: Convert to fraction form
    12,374.81/17,075.96 = 7,594.96/x
  3. Step 3: Cross multiply
    12,374.81x = 17,075.96 × 7,594.96
  4. Step 4: Simplify right side
    12,374.81x = 129,691,109.81
  5. Step 5: Solve for x
    x = 129,691,109.81/12,374.81
  6. Step 6: Final answer
    x = 10,480.25

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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.