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Finding the Fourth Proportional to 13,420.64, 20,124.12 and 5,094.32

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Solution

The fourth proportional to 13,420.64, 20,124.12 and 5,094.32 is: 7,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.64 : 20,124.12 = 5,094.32 : x
  2. Step 2: Convert to fraction form
    13,420.64/20,124.12 = 5,094.32/x
  3. Step 3: Cross multiply
    13,420.64x = 20,124.12 × 5,094.32
  4. Step 4: Simplify right side
    13,420.64x = 102,518,667.75
  5. Step 5: Solve for x
    x = 102,518,667.75/13,420.64
  6. Step 6: Final answer
    x = 7,638.88

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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.