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Finding the Fourth Proportional to 23,830.48, 32,890.02 and 13,223.54

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Solution

The fourth proportional to 23,830.48, 32,890.02 and 13,223.54 is: 18,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.48 : 32,890.02 = 13,223.54 : x
  2. Step 2: Convert to fraction form
    23,830.48/32,890.02 = 13,223.54/x
  3. Step 3: Cross multiply
    23,830.48x = 32,890.02 × 13,223.54
  4. Step 4: Simplify right side
    23,830.48x = 434,922,495.07
  5. Step 5: Solve for x
    x = 434,922,495.07/23,830.48
  6. Step 6: Final answer
    x = 18,250.68

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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.