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Finding the Fourth Proportional to 13,463.34, 18,554.14 and 9,679.94

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Solution

The fourth proportional to 13,463.34, 18,554.14 and 9,679.94 is: 13,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.34 : 18,554.14 = 9,679.94 : x
  2. Step 2: Convert to fraction form
    13,463.34/18,554.14 = 9,679.94/x
  3. Step 3: Cross multiply
    13,463.34x = 18,554.14 × 9,679.94
  4. Step 4: Simplify right side
    13,463.34x = 179,602,961.95
  5. Step 5: Solve for x
    x = 179,602,961.95/13,463.34
  6. Step 6: Final answer
    x = 13,340.15

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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.