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Finding the Fourth Proportional to 17,729.40, 26,569.01 and 9,835.38

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Solution

The fourth proportional to 17,729.40, 26,569.01 and 9,835.38 is: 14,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.40 : 26,569.01 = 9,835.38 : x
  2. Step 2: Convert to fraction form
    17,729.40/26,569.01 = 9,835.38/x
  3. Step 3: Cross multiply
    17,729.40x = 26,569.01 × 9,835.38
  4. Step 4: Simplify right side
    17,729.40x = 261,316,260.40
  5. Step 5: Solve for x
    x = 261,316,260.40/17,729.40
  6. Step 6: Final answer
    x = 14,739.15

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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.