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Finding the Fourth Proportional to 13,815.40, 20,720.70 and 5,045.80

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Solution

The fourth proportional to 13,815.40, 20,720.70 and 5,045.80 is: 7,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.40 : 20,720.70 = 5,045.80 : x
  2. Step 2: Convert to fraction form
    13,815.40/20,720.70 = 5,045.80/x
  3. Step 3: Cross multiply
    13,815.40x = 20,720.70 × 5,045.80
  4. Step 4: Simplify right side
    13,815.40x = 104,552,508.06
  5. Step 5: Solve for x
    x = 104,552,508.06/13,815.40
  6. Step 6: Final answer
    x = 7,567.82

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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.