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Finding the Fourth Proportional to 13,364.61, 20,083.23 and 7,128.96

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Solution

The fourth proportional to 13,364.61, 20,083.23 and 7,128.96 is: 10,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.61 : 20,083.23 = 7,128.96 : x
  2. Step 2: Convert to fraction form
    13,364.61/20,083.23 = 7,128.96/x
  3. Step 3: Cross multiply
    13,364.61x = 20,083.23 × 7,128.96
  4. Step 4: Simplify right side
    13,364.61x = 143,172,543.34
  5. Step 5: Solve for x
    x = 143,172,543.34/13,364.61
  6. Step 6: Final answer
    x = 10,712.81

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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.