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Finding the Fourth Proportional to 13,577.38, 20,377.07 and 7,005.45

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Solution

The fourth proportional to 13,577.38, 20,377.07 and 7,005.45 is: 10,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.38 : 20,377.07 = 7,005.45 : x
  2. Step 2: Convert to fraction form
    13,577.38/20,377.07 = 7,005.45/x
  3. Step 3: Cross multiply
    13,577.38x = 20,377.07 × 7,005.45
  4. Step 4: Simplify right side
    13,577.38x = 142,750,460.66
  5. Step 5: Solve for x
    x = 142,750,460.66/13,577.38
  6. Step 6: Final answer
    x = 10,513.84

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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.