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Finding the Fourth Proportional to 12,584.90, 17,368.13 and 7,549.32

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Solution

The fourth proportional to 12,584.90, 17,368.13 and 7,549.32 is: 10,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.90 : 17,368.13 = 7,549.32 : x
  2. Step 2: Convert to fraction form
    12,584.90/17,368.13 = 7,549.32/x
  3. Step 3: Cross multiply
    12,584.90x = 17,368.13 × 7,549.32
  4. Step 4: Simplify right side
    12,584.90x = 131,117,571.17
  5. Step 5: Solve for x
    x = 131,117,571.17/12,584.90
  6. Step 6: Final answer
    x = 10,418.64

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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.