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Finding the Fourth Proportional to 14,838.35, 20,477.48 and 8,465.99

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Solution

The fourth proportional to 14,838.35, 20,477.48 and 8,465.99 is: 11,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.35 : 20,477.48 = 8,465.99 : x
  2. Step 2: Convert to fraction form
    14,838.35/20,477.48 = 8,465.99/x
  3. Step 3: Cross multiply
    14,838.35x = 20,477.48 × 8,465.99
  4. Step 4: Simplify right side
    14,838.35x = 173,361,996.19
  5. Step 5: Solve for x
    x = 173,361,996.19/14,838.35
  6. Step 6: Final answer
    x = 11,683.38

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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.