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Finding the Fourth Proportional to 13,384.64, 20,077.95 and 4,023.91

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Solution

The fourth proportional to 13,384.64, 20,077.95 and 4,023.91 is: 6,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.64 : 20,077.95 = 4,023.91 : x
  2. Step 2: Convert to fraction form
    13,384.64/20,077.95 = 4,023.91/x
  3. Step 3: Cross multiply
    13,384.64x = 20,077.95 × 4,023.91
  4. Step 4: Simplify right side
    13,384.64x = 80,791,863.78
  5. Step 5: Solve for x
    x = 80,791,863.78/13,384.64
  6. Step 6: Final answer
    x = 6,036.16

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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.