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Finding the Fourth Proportional to 13,156.60, 19,725.18 and 6,223

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Solution

The fourth proportional to 13,156.60, 19,725.18 and 6,223 is: 9,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.60 : 19,725.18 = 6,223 : x
  2. Step 2: Convert to fraction form
    13,156.60/19,725.18 = 6,223/x
  3. Step 3: Cross multiply
    13,156.60x = 19,725.18 × 6,223
  4. Step 4: Simplify right side
    13,156.60x = 122,749,795.14
  5. Step 5: Solve for x
    x = 122,749,795.14/13,156.60
  6. Step 6: Final answer
    x = 9,329.90

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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.