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Finding the Fourth Proportional to 23,637.40, 35,456.10 and 9,786.40

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Solution

The fourth proportional to 23,637.40, 35,456.10 and 9,786.40 is: 14,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.40 : 35,456.10 = 9,786.40 : x
  2. Step 2: Convert to fraction form
    23,637.40/35,456.10 = 9,786.40/x
  3. Step 3: Cross multiply
    23,637.40x = 35,456.10 × 9,786.40
  4. Step 4: Simplify right side
    23,637.40x = 346,987,577.04
  5. Step 5: Solve for x
    x = 346,987,577.04/23,637.40
  6. Step 6: Final answer
    x = 14,679.60

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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.