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Finding the Fourth Proportional to 13,287.68, 20,030.40 and 11,453.84

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Solution

The fourth proportional to 13,287.68, 20,030.40 and 11,453.84 is: 17,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.68 : 20,030.40 = 11,453.84 : x
  2. Step 2: Convert to fraction form
    13,287.68/20,030.40 = 11,453.84/x
  3. Step 3: Cross multiply
    13,287.68x = 20,030.40 × 11,453.84
  4. Step 4: Simplify right side
    13,287.68x = 229,424,996.74
  5. Step 5: Solve for x
    x = 229,424,996.74/13,287.68
  6. Step 6: Final answer
    x = 17,265.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.