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Finding the Fourth Proportional to 13,454.14, 18,564.88 and 7,485.04

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Solution

The fourth proportional to 13,454.14, 18,564.88 and 7,485.04 is: 10,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.14 : 18,564.88 = 7,485.04 : x
  2. Step 2: Convert to fraction form
    13,454.14/18,564.88 = 7,485.04/x
  3. Step 3: Cross multiply
    13,454.14x = 18,564.88 × 7,485.04
  4. Step 4: Simplify right side
    13,454.14x = 138,958,869.40
  5. Step 5: Solve for x
    x = 138,958,869.40/13,454.14
  6. Step 6: Final answer
    x = 10,328.34

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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.