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Finding the Fourth Proportional to 16,498.19, 24,749.49 and 5,402

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Solution

The fourth proportional to 16,498.19, 24,749.49 and 5,402 is: 8,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.19 : 24,749.49 = 5,402 : x
  2. Step 2: Convert to fraction form
    16,498.19/24,749.49 = 5,402/x
  3. Step 3: Cross multiply
    16,498.19x = 24,749.49 × 5,402
  4. Step 4: Simplify right side
    16,498.19x = 133,696,744.98
  5. Step 5: Solve for x
    x = 133,696,744.98/16,498.19
  6. Step 6: Final answer
    x = 8,103.72

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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.