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Finding the Fourth Proportional to 16,421.84, 24,636 and 5,326.48

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Solution

The fourth proportional to 16,421.84, 24,636 and 5,326.48 is: 7,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.84 : 24,636 = 5,326.48 : x
  2. Step 2: Convert to fraction form
    16,421.84/24,636 = 5,326.48/x
  3. Step 3: Cross multiply
    16,421.84x = 24,636 × 5,326.48
  4. Step 4: Simplify right side
    16,421.84x = 131,223,161.28
  5. Step 5: Solve for x
    x = 131,223,161.28/16,421.84
  6. Step 6: Final answer
    x = 7,990.77

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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.