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Finding the Fourth Proportional to 16,209.65, 24,144 and 15,451.25

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Solution

The fourth proportional to 16,209.65, 24,144 and 15,451.25 is: 23,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.65 : 24,144 = 15,451.25 : x
  2. Step 2: Convert to fraction form
    16,209.65/24,144 = 15,451.25/x
  3. Step 3: Cross multiply
    16,209.65x = 24,144 × 15,451.25
  4. Step 4: Simplify right side
    16,209.65x = 373,054,980
  5. Step 5: Solve for x
    x = 373,054,980/16,209.65
  6. Step 6: Final answer
    x = 23,014.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.