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Finding the Fourth Proportional to 13,914, 19,205.64 and 8,326.08

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Solution

The fourth proportional to 13,914, 19,205.64 and 8,326.08 is: 11,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914 : 19,205.64 = 8,326.08 : x
  2. Step 2: Convert to fraction form
    13,914/19,205.64 = 8,326.08/x
  3. Step 3: Cross multiply
    13,914x = 19,205.64 × 8,326.08
  4. Step 4: Simplify right side
    13,914x = 159,907,695.09
  5. Step 5: Solve for x
    x = 159,907,695.09/13,914
  6. Step 6: Final answer
    x = 11,492.58

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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.