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Finding the Fourth Proportional to 12,912.51, 17,818.68 and 7,875.93

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Solution

The fourth proportional to 12,912.51, 17,818.68 and 7,875.93 is: 10,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.51 : 17,818.68 = 7,875.93 : x
  2. Step 2: Convert to fraction form
    12,912.51/17,818.68 = 7,875.93/x
  3. Step 3: Cross multiply
    12,912.51x = 17,818.68 × 7,875.93
  4. Step 4: Simplify right side
    12,912.51x = 140,338,676.37
  5. Step 5: Solve for x
    x = 140,338,676.37/12,912.51
  6. Step 6: Final answer
    x = 10,868.43

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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.