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Finding the Fourth Proportional to 19,416, 29,124 and 4,824

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Solution

The fourth proportional to 19,416, 29,124 and 4,824 is: 7,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416 : 29,124 = 4,824 : x
  2. Step 2: Convert to fraction form
    19,416/29,124 = 4,824/x
  3. Step 3: Cross multiply
    19,416x = 29,124 × 4,824
  4. Step 4: Simplify right side
    19,416x = 140,494,176
  5. Step 5: Solve for x
    x = 140,494,176/19,416
  6. Step 6: Final answer
    x = 7,236

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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.