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Finding the Fourth Proportional to 13,780.67, 19,007.69 and 9,308.25

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Solution

The fourth proportional to 13,780.67, 19,007.69 and 9,308.25 is: 12,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.67 : 19,007.69 = 9,308.25 : x
  2. Step 2: Convert to fraction form
    13,780.67/19,007.69 = 9,308.25/x
  3. Step 3: Cross multiply
    13,780.67x = 19,007.69 × 9,308.25
  4. Step 4: Simplify right side
    13,780.67x = 176,928,283.90
  5. Step 5: Solve for x
    x = 176,928,283.90/13,780.67
  6. Step 6: Final answer
    x = 12,838.88

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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.