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Finding the Fourth Proportional to 14,838.75, 20,477.48 and 8,214.75

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Solution

The fourth proportional to 14,838.75, 20,477.48 and 8,214.75 is: 11,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.75 : 20,477.48 = 8,214.75 : x
  2. Step 2: Convert to fraction form
    14,838.75/20,477.48 = 8,214.75/x
  3. Step 3: Cross multiply
    14,838.75x = 20,477.48 × 8,214.75
  4. Step 4: Simplify right side
    14,838.75x = 168,217,337.76
  5. Step 5: Solve for x
    x = 168,217,337.76/14,838.75
  6. Step 6: Final answer
    x = 11,336.36

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