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Finding the Fourth Proportional to 13,762.14, 20,648.68 and 4,403.60

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Solution

The fourth proportional to 13,762.14, 20,648.68 and 4,403.60 is: 6,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.14 : 20,648.68 = 4,403.60 : x
  2. Step 2: Convert to fraction form
    13,762.14/20,648.68 = 4,403.60/x
  3. Step 3: Cross multiply
    13,762.14x = 20,648.68 × 4,403.60
  4. Step 4: Simplify right side
    13,762.14x = 90,928,527.25
  5. Step 5: Solve for x
    x = 90,928,527.25/13,762.14
  6. Step 6: Final answer
    x = 6,607.15

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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.