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Finding the Fourth Proportional to 14,553.38, 21,830.08 and 7,161.32

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Solution

The fourth proportional to 14,553.38, 21,830.08 and 7,161.32 is: 10,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.38 : 21,830.08 = 7,161.32 : x
  2. Step 2: Convert to fraction form
    14,553.38/21,830.08 = 7,161.32/x
  3. Step 3: Cross multiply
    14,553.38x = 21,830.08 × 7,161.32
  4. Step 4: Simplify right side
    14,553.38x = 156,332,188.51
  5. Step 5: Solve for x
    x = 156,332,188.51/14,553.38
  6. Step 6: Final answer
    x = 10,741.98

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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.