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Finding the Fourth Proportional to 13,697.40, 18,913.59 and 8,669.73

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Solution

The fourth proportional to 13,697.40, 18,913.59 and 8,669.73 is: 11,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.40 : 18,913.59 = 8,669.73 : x
  2. Step 2: Convert to fraction form
    13,697.40/18,913.59 = 8,669.73/x
  3. Step 3: Cross multiply
    13,697.40x = 18,913.59 × 8,669.73
  4. Step 4: Simplify right side
    13,697.40x = 163,975,718.63
  5. Step 5: Solve for x
    x = 163,975,718.63/13,697.40
  6. Step 6: Final answer
    x = 11,971.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.