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Finding the Fourth Proportional to 13,725.72, 20,588.58 and 6,328

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Solution

The fourth proportional to 13,725.72, 20,588.58 and 6,328 is: 9,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.72 : 20,588.58 = 6,328 : x
  2. Step 2: Convert to fraction form
    13,725.72/20,588.58 = 6,328/x
  3. Step 3: Cross multiply
    13,725.72x = 20,588.58 × 6,328
  4. Step 4: Simplify right side
    13,725.72x = 130,284,534.24
  5. Step 5: Solve for x
    x = 130,284,534.24/13,725.72
  6. Step 6: Final answer
    x = 9,492.00

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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.