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Finding the Fourth Proportional to 13,017.64, 19,527 and 3,783.64

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Solution

The fourth proportional to 13,017.64, 19,527 and 3,783.64 is: 5,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.64 : 19,527 = 3,783.64 : x
  2. Step 2: Convert to fraction form
    13,017.64/19,527 = 3,783.64/x
  3. Step 3: Cross multiply
    13,017.64x = 19,527 × 3,783.64
  4. Step 4: Simplify right side
    13,017.64x = 73,883,138.28
  5. Step 5: Solve for x
    x = 73,883,138.28/13,017.64
  6. Step 6: Final answer
    x = 5,675.62

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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.