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Finding the Fourth Proportional to 13,823.64, 19,077.54 and 7,855.32

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Solution

The fourth proportional to 13,823.64, 19,077.54 and 7,855.32 is: 10,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.64 : 19,077.54 = 7,855.32 : x
  2. Step 2: Convert to fraction form
    13,823.64/19,077.54 = 7,855.32/x
  3. Step 3: Cross multiply
    13,823.64x = 19,077.54 × 7,855.32
  4. Step 4: Simplify right side
    13,823.64x = 149,860,181.51
  5. Step 5: Solve for x
    x = 149,860,181.51/13,823.64
  6. Step 6: Final answer
    x = 10,840.86

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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.