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Finding the Fourth Proportional to 13,923.64, 19,214.68 and 8,334.64

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Solution

The fourth proportional to 13,923.64, 19,214.68 and 8,334.64 is: 11,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.64 : 19,214.68 = 8,334.64 : x
  2. Step 2: Convert to fraction form
    13,923.64/19,214.68 = 8,334.64/x
  3. Step 3: Cross multiply
    13,923.64x = 19,214.68 × 8,334.64
  4. Step 4: Simplify right side
    13,923.64x = 160,147,440.52
  5. Step 5: Solve for x
    x = 160,147,440.52/13,923.64
  6. Step 6: Final answer
    x = 11,501.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.