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Finding the Fourth Proportional to 13,416, 18,513.36 and 7,750.56

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Solution

The fourth proportional to 13,416, 18,513.36 and 7,750.56 is: 10,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416 : 18,513.36 = 7,750.56 : x
  2. Step 2: Convert to fraction form
    13,416/18,513.36 = 7,750.56/x
  3. Step 3: Cross multiply
    13,416x = 18,513.36 × 7,750.56
  4. Step 4: Simplify right side
    13,416x = 143,488,907.48
  5. Step 5: Solve for x
    x = 143,488,907.48/13,416
  6. Step 6: Final answer
    x = 10,695.36

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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.