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Finding the Fourth Proportional to 23,964.60, 35,945.64 and 9,172.40

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Solution

The fourth proportional to 23,964.60, 35,945.64 and 9,172.40 is: 13,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,964.60 : 35,945.64 = 9,172.40 : x
  2. Step 2: Convert to fraction form
    23,964.60/35,945.64 = 9,172.40/x
  3. Step 3: Cross multiply
    23,964.60x = 35,945.64 × 9,172.40
  4. Step 4: Simplify right side
    23,964.60x = 329,707,788.34
  5. Step 5: Solve for x
    x = 329,707,788.34/23,964.60
  6. Step 6: Final answer
    x = 13,758.12

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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.