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Finding the Fourth Proportional to 13,870.40, 20,805.60 and 5,111.60

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Solution

The fourth proportional to 13,870.40, 20,805.60 and 5,111.60 is: 7,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.40 : 20,805.60 = 5,111.60 : x
  2. Step 2: Convert to fraction form
    13,870.40/20,805.60 = 5,111.60/x
  3. Step 3: Cross multiply
    13,870.40x = 20,805.60 × 5,111.60
  4. Step 4: Simplify right side
    13,870.40x = 106,349,904.96
  5. Step 5: Solve for x
    x = 106,349,904.96/13,870.40
  6. Step 6: Final answer
    x = 7,667.40

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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.