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Finding the Fourth Proportional to 13,838.64, 19,091.88 and 8,801.52

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Solution

The fourth proportional to 13,838.64, 19,091.88 and 8,801.52 is: 12,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.64 : 19,091.88 = 8,801.52 : x
  2. Step 2: Convert to fraction form
    13,838.64/19,091.88 = 8,801.52/x
  3. Step 3: Cross multiply
    13,838.64x = 19,091.88 × 8,801.52
  4. Step 4: Simplify right side
    13,838.64x = 168,037,563.66
  5. Step 5: Solve for x
    x = 168,037,563.66/13,838.64
  6. Step 6: Final answer
    x = 12,142.64

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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.