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Finding the Fourth Proportional to 14,838.09, 20,476.88 and 8,124

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Solution

The fourth proportional to 14,838.09, 20,476.88 and 8,124 is: 11,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.09 : 20,476.88 = 8,124 : x
  2. Step 2: Convert to fraction form
    14,838.09/20,476.88 = 8,124/x
  3. Step 3: Cross multiply
    14,838.09x = 20,476.88 × 8,124
  4. Step 4: Simplify right side
    14,838.09x = 166,354,132.50
  5. Step 5: Solve for x
    x = 166,354,132.50/14,838.09
  6. Step 6: Final answer
    x = 11,211.29

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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.