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Finding the Fourth Proportional to 13,830.40, 20,731.20 and 7,580.80

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Solution

The fourth proportional to 13,830.40, 20,731.20 and 7,580.80 is: 11,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.40 : 20,731.20 = 7,580.80 : x
  2. Step 2: Convert to fraction form
    13,830.40/20,731.20 = 7,580.80/x
  3. Step 3: Cross multiply
    13,830.40x = 20,731.20 × 7,580.80
  4. Step 4: Simplify right side
    13,830.40x = 157,159,080.96
  5. Step 5: Solve for x
    x = 157,159,080.96/13,830.40
  6. Step 6: Final answer
    x = 11,363.31

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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.