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Finding the Fourth Proportional to 13,235.43, 18,265.32 and 7,646.43

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Solution

The fourth proportional to 13,235.43, 18,265.32 and 7,646.43 is: 10,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.43 : 18,265.32 = 7,646.43 : x
  2. Step 2: Convert to fraction form
    13,235.43/18,265.32 = 7,646.43/x
  3. Step 3: Cross multiply
    13,235.43x = 18,265.32 × 7,646.43
  4. Step 4: Simplify right side
    13,235.43x = 139,664,490.81
  5. Step 5: Solve for x
    x = 139,664,490.81/13,235.43
  6. Step 6: Final answer
    x = 10,552.32

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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.