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Finding the Fourth Proportional to 13,133.85, 18,124.36 and 7,165.63

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Solution

The fourth proportional to 13,133.85, 18,124.36 and 7,165.63 is: 9,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.85 : 18,124.36 = 7,165.63 : x
  2. Step 2: Convert to fraction form
    13,133.85/18,124.36 = 7,165.63/x
  3. Step 3: Cross multiply
    13,133.85x = 18,124.36 × 7,165.63
  4. Step 4: Simplify right side
    13,133.85x = 129,872,457.75
  5. Step 5: Solve for x
    x = 129,872,457.75/13,133.85
  6. Step 6: Final answer
    x = 9,888.38

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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.