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Finding the Fourth Proportional to 12,526.84, 17,282.75 and 7,145.41

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Solution

The fourth proportional to 12,526.84, 17,282.75 and 7,145.41 is: 9,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.84 : 17,282.75 = 7,145.41 : x
  2. Step 2: Convert to fraction form
    12,526.84/17,282.75 = 7,145.41/x
  3. Step 3: Cross multiply
    12,526.84x = 17,282.75 × 7,145.41
  4. Step 4: Simplify right side
    12,526.84x = 123,492,334.68
  5. Step 5: Solve for x
    x = 123,492,334.68/12,526.84
  6. Step 6: Final answer
    x = 9,858.22

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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.