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Finding the Fourth Proportional to 23,506.94, 35,291.68 and 13,653.29

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Solution

The fourth proportional to 23,506.94, 35,291.68 and 13,653.29 is: 20,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.94 : 35,291.68 = 13,653.29 : x
  2. Step 2: Convert to fraction form
    23,506.94/35,291.68 = 13,653.29/x
  3. Step 3: Cross multiply
    23,506.94x = 35,291.68 × 13,653.29
  4. Step 4: Simplify right side
    23,506.94x = 481,847,595.72
  5. Step 5: Solve for x
    x = 481,847,595.72/23,506.94
  6. Step 6: Final answer
    x = 20,498.10

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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.