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Finding the Fourth Proportional to 16,322.52, 22,526.89 and 9,609.80

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Solution

The fourth proportional to 16,322.52, 22,526.89 and 9,609.80 is: 13,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.52 : 22,526.89 = 9,609.80 : x
  2. Step 2: Convert to fraction form
    16,322.52/22,526.89 = 9,609.80/x
  3. Step 3: Cross multiply
    16,322.52x = 22,526.89 × 9,609.80
  4. Step 4: Simplify right side
    16,322.52x = 216,478,907.52
  5. Step 5: Solve for x
    x = 216,478,907.52/16,322.52
  6. Step 6: Final answer
    x = 13,262.59

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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.