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Finding the Fourth Proportional to 13,420.90, 20,133.88 and 6,025.18

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Solution

The fourth proportional to 13,420.90, 20,133.88 and 6,025.18 is: 9,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.90 : 20,133.88 = 6,025.18 : x
  2. Step 2: Convert to fraction form
    13,420.90/20,133.88 = 6,025.18/x
  3. Step 3: Cross multiply
    13,420.90x = 20,133.88 × 6,025.18
  4. Step 4: Simplify right side
    13,420.90x = 121,310,251.10
  5. Step 5: Solve for x
    x = 121,310,251.10/13,420.90
  6. Step 6: Final answer
    x = 9,038.91

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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.