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Finding the Fourth Proportional to 16,229.78, 24,325.70 and 14,384.50

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Solution

The fourth proportional to 16,229.78, 24,325.70 and 14,384.50 is: 21,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.78 : 24,325.70 = 14,384.50 : x
  2. Step 2: Convert to fraction form
    16,229.78/24,325.70 = 14,384.50/x
  3. Step 3: Cross multiply
    16,229.78x = 24,325.70 × 14,384.50
  4. Step 4: Simplify right side
    16,229.78x = 349,913,031.65
  5. Step 5: Solve for x
    x = 349,913,031.65/16,229.78
  6. Step 6: Final answer
    x = 21,559.94

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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.