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Finding the Fourth Proportional to 17,729.40, 24,465.42 and 9,771.12

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Solution

The fourth proportional to 17,729.40, 24,465.42 and 9,771.12 is: 13,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.40 : 24,465.42 = 9,771.12 : x
  2. Step 2: Convert to fraction form
    17,729.40/24,465.42 = 9,771.12/x
  3. Step 3: Cross multiply
    17,729.40x = 24,465.42 × 9,771.12
  4. Step 4: Simplify right side
    17,729.40x = 239,054,554.67
  5. Step 5: Solve for x
    x = 239,054,554.67/17,729.40
  6. Step 6: Final answer
    x = 13,483.51

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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.