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Finding the Fourth Proportional to 13,438.24, 18,538.32 and 11,572

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Solution

The fourth proportional to 13,438.24, 18,538.32 and 11,572 is: 15,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.24 : 18,538.32 = 11,572 : x
  2. Step 2: Convert to fraction form
    13,438.24/18,538.32 = 11,572/x
  3. Step 3: Cross multiply
    13,438.24x = 18,538.32 × 11,572
  4. Step 4: Simplify right side
    13,438.24x = 214,525,439.04
  5. Step 5: Solve for x
    x = 214,525,439.04/13,438.24
  6. Step 6: Final answer
    x = 15,963.80

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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.