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Finding the Fourth Proportional to 13,223.70, 19,792.35 and 13,223.70

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Solution

The fourth proportional to 13,223.70, 19,792.35 and 13,223.70 is: 19,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.70 : 19,792.35 = 13,223.70 : x
  2. Step 2: Convert to fraction form
    13,223.70/19,792.35 = 13,223.70/x
  3. Step 3: Cross multiply
    13,223.70x = 19,792.35 × 13,223.70
  4. Step 4: Simplify right side
    13,223.70x = 261,728,098.70
  5. Step 5: Solve for x
    x = 261,728,098.70/13,223.70
  6. Step 6: Final answer
    x = 19,792.35

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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.