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Finding the Fourth Proportional to 16,816.69, 25,222.15 and 7,580.53

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Solution

The fourth proportional to 16,816.69, 25,222.15 and 7,580.53 is: 11,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816.69 : 25,222.15 = 7,580.53 : x
  2. Step 2: Convert to fraction form
    16,816.69/25,222.15 = 7,580.53/x
  3. Step 3: Cross multiply
    16,816.69x = 25,222.15 × 7,580.53
  4. Step 4: Simplify right side
    16,816.69x = 191,197,264.74
  5. Step 5: Solve for x
    x = 191,197,264.74/16,816.69
  6. Step 6: Final answer
    x = 11,369.49

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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.