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Finding the Fourth Proportional to 13,794.75, 19,036.76 and 7,507.17

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Solution

The fourth proportional to 13,794.75, 19,036.76 and 7,507.17 is: 10,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.75 : 19,036.76 = 7,507.17 : x
  2. Step 2: Convert to fraction form
    13,794.75/19,036.76 = 7,507.17/x
  3. Step 3: Cross multiply
    13,794.75x = 19,036.76 × 7,507.17
  4. Step 4: Simplify right side
    13,794.75x = 142,912,156.03
  5. Step 5: Solve for x
    x = 142,912,156.03/13,794.75
  6. Step 6: Final answer
    x = 10,359.89

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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.