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Finding the Fourth Proportional to 13,401.60, 20,108.40 and 4,642.80

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Solution

The fourth proportional to 13,401.60, 20,108.40 and 4,642.80 is: 6,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.60 : 20,108.40 = 4,642.80 : x
  2. Step 2: Convert to fraction form
    13,401.60/20,108.40 = 4,642.80/x
  3. Step 3: Cross multiply
    13,401.60x = 20,108.40 × 4,642.80
  4. Step 4: Simplify right side
    13,401.60x = 93,359,279.52
  5. Step 5: Solve for x
    x = 93,359,279.52/13,401.60
  6. Step 6: Final answer
    x = 6,966.28

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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.