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Finding the Fourth Proportional to 13,438.46, 18,543.93 and 7,468.22

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Solution

The fourth proportional to 13,438.46, 18,543.93 and 7,468.22 is: 10,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.46 : 18,543.93 = 7,468.22 : x
  2. Step 2: Convert to fraction form
    13,438.46/18,543.93 = 7,468.22/x
  3. Step 3: Cross multiply
    13,438.46x = 18,543.93 × 7,468.22
  4. Step 4: Simplify right side
    13,438.46x = 138,490,148.90
  5. Step 5: Solve for x
    x = 138,490,148.90/13,438.46
  6. Step 6: Final answer
    x = 10,305.51

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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.