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Finding the Fourth Proportional to 16,309.89, 22,510.58 and 9,597.29

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Solution

The fourth proportional to 16,309.89, 22,510.58 and 9,597.29 is: 13,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.89 : 22,510.58 = 9,597.29 : x
  2. Step 2: Convert to fraction form
    16,309.89/22,510.58 = 9,597.29/x
  3. Step 3: Cross multiply
    16,309.89x = 22,510.58 × 9,597.29
  4. Step 4: Simplify right side
    16,309.89x = 216,040,403.79
  5. Step 5: Solve for x
    x = 216,040,403.79/16,309.89
  6. Step 6: Final answer
    x = 13,245.98

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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.