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Finding the Fourth Proportional to 12,810.02, 17,677.92 and 7,145.12

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Solution

The fourth proportional to 12,810.02, 17,677.92 and 7,145.12 is: 9,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.02 : 17,677.92 = 7,145.12 : x
  2. Step 2: Convert to fraction form
    12,810.02/17,677.92 = 7,145.12/x
  3. Step 3: Cross multiply
    12,810.02x = 17,677.92 × 7,145.12
  4. Step 4: Simplify right side
    12,810.02x = 126,310,859.75
  5. Step 5: Solve for x
    x = 126,310,859.75/12,810.02
  6. Step 6: Final answer
    x = 9,860.32

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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.