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Finding the Fourth Proportional to 12,584.06, 17,364.59 and 7,548.48

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Solution

The fourth proportional to 12,584.06, 17,364.59 and 7,548.48 is: 10,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.06 : 17,364.59 = 7,548.48 : x
  2. Step 2: Convert to fraction form
    12,584.06/17,364.59 = 7,548.48/x
  3. Step 3: Cross multiply
    12,584.06x = 17,364.59 × 7,548.48
  4. Step 4: Simplify right side
    12,584.06x = 131,076,222.58
  5. Step 5: Solve for x
    x = 131,076,222.58/12,584.06
  6. Step 6: Final answer
    x = 10,416.06

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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.