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Finding the Fourth Proportional to 16,225.76, 22,393.79 and 9,513.04

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Solution

The fourth proportional to 16,225.76, 22,393.79 and 9,513.04 is: 13,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.76 : 22,393.79 = 9,513.04 : x
  2. Step 2: Convert to fraction form
    16,225.76/22,393.79 = 9,513.04/x
  3. Step 3: Cross multiply
    16,225.76x = 22,393.79 × 9,513.04
  4. Step 4: Simplify right side
    16,225.76x = 213,033,020.02
  5. Step 5: Solve for x
    x = 213,033,020.02/16,225.76
  6. Step 6: Final answer
    x = 13,129.31

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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.