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Finding the Fourth Proportional to 10,024.56, 15,014.97 and 4,819.50

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Solution

The fourth proportional to 10,024.56, 15,014.97 and 4,819.50 is: 7,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.56 : 15,014.97 = 4,819.50 : x
  2. Step 2: Convert to fraction form
    10,024.56/15,014.97 = 4,819.50/x
  3. Step 3: Cross multiply
    10,024.56x = 15,014.97 × 4,819.50
  4. Step 4: Simplify right side
    10,024.56x = 72,364,647.92
  5. Step 5: Solve for x
    x = 72,364,647.92/10,024.56
  6. Step 6: Final answer
    x = 7,218.74

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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.