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Finding the Fourth Proportional to 14,938.86, 20,616.10 and 8,133.34

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Solution

The fourth proportional to 14,938.86, 20,616.10 and 8,133.34 is: 11,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.86 : 20,616.10 = 8,133.34 : x
  2. Step 2: Convert to fraction form
    14,938.86/20,616.10 = 8,133.34/x
  3. Step 3: Cross multiply
    14,938.86x = 20,616.10 × 8,133.34
  4. Step 4: Simplify right side
    14,938.86x = 167,677,750.77
  5. Step 5: Solve for x
    x = 167,677,750.77/14,938.86
  6. Step 6: Final answer
    x = 11,224.27

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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.