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Finding the Fourth Proportional to 14,838.58, 20,477.49 and 8,124.10

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Solution

The fourth proportional to 14,838.58, 20,477.49 and 8,124.10 is: 11,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.58 : 20,477.49 = 8,124.10 : x
  2. Step 2: Convert to fraction form
    14,838.58/20,477.49 = 8,124.10/x
  3. Step 3: Cross multiply
    14,838.58x = 20,477.49 × 8,124.10
  4. Step 4: Simplify right side
    14,838.58x = 166,361,094.85
  5. Step 5: Solve for x
    x = 166,361,094.85/14,838.58
  6. Step 6: Final answer
    x = 11,211.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.