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Finding the Fourth Proportional to 13,043.62, 19,573.62 and 7,507.81

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Solution

The fourth proportional to 13,043.62, 19,573.62 and 7,507.81 is: 11,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.62 : 19,573.62 = 7,507.81 : x
  2. Step 2: Convert to fraction form
    13,043.62/19,573.62 = 7,507.81/x
  3. Step 3: Cross multiply
    13,043.62x = 19,573.62 × 7,507.81
  4. Step 4: Simplify right side
    13,043.62x = 146,955,019.97
  5. Step 5: Solve for x
    x = 146,955,019.97/13,043.62
  6. Step 6: Final answer
    x = 11,266.43

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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.