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Finding the Fourth Proportional to 12,918.55, 17,823.22 and 8,205.57

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Solution

The fourth proportional to 12,918.55, 17,823.22 and 8,205.57 is: 11,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918.55 : 17,823.22 = 8,205.57 : x
  2. Step 2: Convert to fraction form
    12,918.55/17,823.22 = 8,205.57/x
  3. Step 3: Cross multiply
    12,918.55x = 17,823.22 × 8,205.57
  4. Step 4: Simplify right side
    12,918.55x = 146,249,679.34
  5. Step 5: Solve for x
    x = 146,249,679.34/12,918.55
  6. Step 6: Final answer
    x = 11,320.91

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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.