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Finding the Fourth Proportional to 13,283.80, 19,901.70 and 7,732.60

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Solution

The fourth proportional to 13,283.80, 19,901.70 and 7,732.60 is: 11,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.80 : 19,901.70 = 7,732.60 : x
  2. Step 2: Convert to fraction form
    13,283.80/19,901.70 = 7,732.60/x
  3. Step 3: Cross multiply
    13,283.80x = 19,901.70 × 7,732.60
  4. Step 4: Simplify right side
    13,283.80x = 153,891,885.42
  5. Step 5: Solve for x
    x = 153,891,885.42/13,283.80
  6. Step 6: Final answer
    x = 11,584.93

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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.