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Finding the Fourth Proportional to 23,488.16, 35,233.28 and 9,636

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Solution

The fourth proportional to 23,488.16, 35,233.28 and 9,636 is: 14,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.16 : 35,233.28 = 9,636 : x
  2. Step 2: Convert to fraction form
    23,488.16/35,233.28 = 9,636/x
  3. Step 3: Cross multiply
    23,488.16x = 35,233.28 × 9,636
  4. Step 4: Simplify right side
    23,488.16x = 339,507,886.08
  5. Step 5: Solve for x
    x = 339,507,886.08/23,488.16
  6. Step 6: Final answer
    x = 14,454.43

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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.