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Finding the Fourth Proportional to 12,809.89, 17,677.74 and 7,145.01

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Solution

The fourth proportional to 12,809.89, 17,677.74 and 7,145.01 is: 9,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.89 : 17,677.74 = 7,145.01 : x
  2. Step 2: Convert to fraction form
    12,809.89/17,677.74 = 7,145.01/x
  3. Step 3: Cross multiply
    12,809.89x = 17,677.74 × 7,145.01
  4. Step 4: Simplify right side
    12,809.89x = 126,307,629.08
  5. Step 5: Solve for x
    x = 126,307,629.08/12,809.89
  6. Step 6: Final answer
    x = 9,860.17

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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.