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Finding the Fourth Proportional to 16,497, 24,745.53 and 4,016.93

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Solution

The fourth proportional to 16,497, 24,745.53 and 4,016.93 is: 6,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497 : 24,745.53 = 4,016.93 : x
  2. Step 2: Convert to fraction form
    16,497/24,745.53 = 4,016.93/x
  3. Step 3: Cross multiply
    16,497x = 24,745.53 × 4,016.93
  4. Step 4: Simplify right side
    16,497x = 99,401,061.82
  5. Step 5: Solve for x
    x = 99,401,061.82/16,497
  6. Step 6: Final answer
    x = 6,025.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.