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Finding the Fourth Proportional to 13,069.92, 18,038.64 and 9,544.80

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Solution

The fourth proportional to 13,069.92, 18,038.64 and 9,544.80 is: 13,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.92 : 18,038.64 = 9,544.80 : x
  2. Step 2: Convert to fraction form
    13,069.92/18,038.64 = 9,544.80/x
  3. Step 3: Cross multiply
    13,069.92x = 18,038.64 × 9,544.80
  4. Step 4: Simplify right side
    13,069.92x = 172,175,211.07
  5. Step 5: Solve for x
    x = 172,175,211.07/13,069.92
  6. Step 6: Final answer
    x = 13,173.39

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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.