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Finding the Fourth Proportional to 12,852.16, 17,733.96 and 7,475.79

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Solution

The fourth proportional to 12,852.16, 17,733.96 and 7,475.79 is: 10,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.16 : 17,733.96 = 7,475.79 : x
  2. Step 2: Convert to fraction form
    12,852.16/17,733.96 = 7,475.79/x
  3. Step 3: Cross multiply
    12,852.16x = 17,733.96 × 7,475.79
  4. Step 4: Simplify right side
    12,852.16x = 132,575,360.83
  5. Step 5: Solve for x
    x = 132,575,360.83/12,852.16
  6. Step 6: Final answer
    x = 10,315.41

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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.