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Finding the Fourth Proportional to 12,653.29, 18,991.50 and 6,417.60

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Solution

The fourth proportional to 12,653.29, 18,991.50 and 6,417.60 is: 9,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.29 : 18,991.50 = 6,417.60 : x
  2. Step 2: Convert to fraction form
    12,653.29/18,991.50 = 6,417.60/x
  3. Step 3: Cross multiply
    12,653.29x = 18,991.50 × 6,417.60
  4. Step 4: Simplify right side
    12,653.29x = 121,879,945.68
  5. Step 5: Solve for x
    x = 121,879,945.68/12,653.29
  6. Step 6: Final answer
    x = 9,632.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.