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Finding the Fourth Proportional to 13,205.40, 18,213.98 and 8,485.13

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Solution

The fourth proportional to 13,205.40, 18,213.98 and 8,485.13 is: 11,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.40 : 18,213.98 = 8,485.13 : x
  2. Step 2: Convert to fraction form
    13,205.40/18,213.98 = 8,485.13/x
  3. Step 3: Cross multiply
    13,205.40x = 18,213.98 × 8,485.13
  4. Step 4: Simplify right side
    13,205.40x = 154,547,854.62
  5. Step 5: Solve for x
    x = 154,547,854.62/13,205.40
  6. Step 6: Final answer
    x = 11,703.38

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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.