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Finding the Fourth Proportional to 13,267.05, 18,307.42 and 7,815.25

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Solution

The fourth proportional to 13,267.05, 18,307.42 and 7,815.25 is: 10,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.05 : 18,307.42 = 7,815.25 : x
  2. Step 2: Convert to fraction form
    13,267.05/18,307.42 = 7,815.25/x
  3. Step 3: Cross multiply
    13,267.05x = 18,307.42 × 7,815.25
  4. Step 4: Simplify right side
    13,267.05x = 143,077,089.48
  5. Step 5: Solve for x
    x = 143,077,089.48/13,267.05
  6. Step 6: Final answer
    x = 10,784.39

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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.