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Finding the Fourth Proportional to 13,830.10, 20,741.10 and 4,944.40

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Solution

The fourth proportional to 13,830.10, 20,741.10 and 4,944.40 is: 7,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.10 : 20,741.10 = 4,944.40 : x
  2. Step 2: Convert to fraction form
    13,830.10/20,741.10 = 4,944.40/x
  3. Step 3: Cross multiply
    13,830.10x = 20,741.10 × 4,944.40
  4. Step 4: Simplify right side
    13,830.10x = 102,552,294.84
  5. Step 5: Solve for x
    x = 102,552,294.84/13,830.10
  6. Step 6: Final answer
    x = 7,415.15

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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.