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Finding the Fourth Proportional to 16,538.97, 24,809.43 and 4,691.82

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Solution

The fourth proportional to 16,538.97, 24,809.43 and 4,691.82 is: 7,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.97 : 24,809.43 = 4,691.82 : x
  2. Step 2: Convert to fraction form
    16,538.97/24,809.43 = 4,691.82/x
  3. Step 3: Cross multiply
    16,538.97x = 24,809.43 × 4,691.82
  4. Step 4: Simplify right side
    16,538.97x = 116,401,379.86
  5. Step 5: Solve for x
    x = 116,401,379.86/16,538.97
  6. Step 6: Final answer
    x = 7,038.01

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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.