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Finding the Fourth Proportional to 13,255.34, 19,886.85 and 8,254.40

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Solution

The fourth proportional to 13,255.34, 19,886.85 and 8,254.40 is: 12,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,255.34 : 19,886.85 = 8,254.40 : x
  2. Step 2: Convert to fraction form
    13,255.34/19,886.85 = 8,254.40/x
  3. Step 3: Cross multiply
    13,255.34x = 19,886.85 × 8,254.40
  4. Step 4: Simplify right side
    13,255.34x = 164,153,915.21
  5. Step 5: Solve for x
    x = 164,153,915.21/13,255.34
  6. Step 6: Final answer
    x = 12,383.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.