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Finding the Fourth Proportional to 13,283.57, 19,901.88 and 11,835.59

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Solution

The fourth proportional to 13,283.57, 19,901.88 and 11,835.59 is: 17,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.57 : 19,901.88 = 11,835.59 : x
  2. Step 2: Convert to fraction form
    13,283.57/19,901.88 = 11,835.59/x
  3. Step 3: Cross multiply
    13,283.57x = 19,901.88 × 11,835.59
  4. Step 4: Simplify right side
    13,283.57x = 235,550,527.03
  5. Step 5: Solve for x
    x = 235,550,527.03/13,283.57
  6. Step 6: Final answer
    x = 17,732.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.