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Finding the Fourth Proportional to 13,021.19, 19,532.69 and 5,230

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Solution

The fourth proportional to 13,021.19, 19,532.69 and 5,230 is: 7,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.19 : 19,532.69 = 5,230 : x
  2. Step 2: Convert to fraction form
    13,021.19/19,532.69 = 5,230/x
  3. Step 3: Cross multiply
    13,021.19x = 19,532.69 × 5,230
  4. Step 4: Simplify right side
    13,021.19x = 102,155,968.70
  5. Step 5: Solve for x
    x = 102,155,968.70/13,021.19
  6. Step 6: Final answer
    x = 7,845.36

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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.