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Finding the Fourth Proportional to 13,384.64, 20,066 and 5,059.96

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Solution

The fourth proportional to 13,384.64, 20,066 and 5,059.96 is: 7,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.64 : 20,066 = 5,059.96 : x
  2. Step 2: Convert to fraction form
    13,384.64/20,066 = 5,059.96/x
  3. Step 3: Cross multiply
    13,384.64x = 20,066 × 5,059.96
  4. Step 4: Simplify right side
    13,384.64x = 101,533,157.36
  5. Step 5: Solve for x
    x = 101,533,157.36/13,384.64
  6. Step 6: Final answer
    x = 7,585.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.