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Finding the Fourth Proportional to 12,645.94, 17,448.34 and 8,106.55

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Solution

The fourth proportional to 12,645.94, 17,448.34 and 8,106.55 is: 11,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.94 : 17,448.34 = 8,106.55 : x
  2. Step 2: Convert to fraction form
    12,645.94/17,448.34 = 8,106.55/x
  3. Step 3: Cross multiply
    12,645.94x = 17,448.34 × 8,106.55
  4. Step 4: Simplify right side
    12,645.94x = 141,445,830.49
  5. Step 5: Solve for x
    x = 141,445,830.49/12,645.94
  6. Step 6: Final answer
    x = 11,185.08

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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.