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Finding the Fourth Proportional to 16,401.84, 24,590.84 and 6,538.16

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Solution

The fourth proportional to 16,401.84, 24,590.84 and 6,538.16 is: 9,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.84 : 24,590.84 = 6,538.16 : x
  2. Step 2: Convert to fraction form
    16,401.84/24,590.84 = 6,538.16/x
  3. Step 3: Cross multiply
    16,401.84x = 24,590.84 × 6,538.16
  4. Step 4: Simplify right side
    16,401.84x = 160,778,846.45
  5. Step 5: Solve for x
    x = 160,778,846.45/16,401.84
  6. Step 6: Final answer
    x = 9,802.49

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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.