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Finding the Fourth Proportional to 13,474.26, 18,595.06 and 7,505.93

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Solution

The fourth proportional to 13,474.26, 18,595.06 and 7,505.93 is: 10,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.26 : 18,595.06 = 7,505.93 : x
  2. Step 2: Convert to fraction form
    13,474.26/18,595.06 = 7,505.93/x
  3. Step 3: Cross multiply
    13,474.26x = 18,595.06 × 7,505.93
  4. Step 4: Simplify right side
    13,474.26x = 139,573,246.43
  5. Step 5: Solve for x
    x = 139,573,246.43/13,474.26
  6. Step 6: Final answer
    x = 10,358.51

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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.