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Finding the Fourth Proportional to 13,334, 18,400.92 and 7,446

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Solution

The fourth proportional to 13,334, 18,400.92 and 7,446 is: 10,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334 : 18,400.92 = 7,446 : x
  2. Step 2: Convert to fraction form
    13,334/18,400.92 = 7,446/x
  3. Step 3: Cross multiply
    13,334x = 18,400.92 × 7,446
  4. Step 4: Simplify right side
    13,334x = 137,013,250.32
  5. Step 5: Solve for x
    x = 137,013,250.32/13,334
  6. Step 6: Final answer
    x = 10,275.48

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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.