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Finding the Fourth Proportional to 13,821.50, 19,074.49 and 10,458.50

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Solution

The fourth proportional to 13,821.50, 19,074.49 and 10,458.50 is: 14,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.50 : 19,074.49 = 10,458.50 : x
  2. Step 2: Convert to fraction form
    13,821.50/19,074.49 = 10,458.50/x
  3. Step 3: Cross multiply
    13,821.50x = 19,074.49 × 10,458.50
  4. Step 4: Simplify right side
    13,821.50x = 199,490,432.15
  5. Step 5: Solve for x
    x = 199,490,432.15/13,821.50
  6. Step 6: Final answer
    x = 14,433.34

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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.