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Finding the Fourth Proportional to 13,827.78, 19,085.04 and 7,858.80

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Solution

The fourth proportional to 13,827.78, 19,085.04 and 7,858.80 is: 10,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.78 : 19,085.04 = 7,858.80 : x
  2. Step 2: Convert to fraction form
    13,827.78/19,085.04 = 7,858.80/x
  3. Step 3: Cross multiply
    13,827.78x = 19,085.04 × 7,858.80
  4. Step 4: Simplify right side
    13,827.78x = 149,985,512.35
  5. Step 5: Solve for x
    x = 149,985,512.35/13,827.78
  6. Step 6: Final answer
    x = 10,846.68

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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.