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Finding the Fourth Proportional to 10,194.44, 15,271.74 and 7,024.40

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Solution

The fourth proportional to 10,194.44, 15,271.74 and 7,024.40 is: 10,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.44 : 15,271.74 = 7,024.40 : x
  2. Step 2: Convert to fraction form
    10,194.44/15,271.74 = 7,024.40/x
  3. Step 3: Cross multiply
    10,194.44x = 15,271.74 × 7,024.40
  4. Step 4: Simplify right side
    10,194.44x = 107,274,810.46
  5. Step 5: Solve for x
    x = 107,274,810.46/10,194.44
  6. Step 6: Final answer
    x = 10,522.87

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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.