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Finding the Fourth Proportional to 17,964.42, 24,790.92 and 10,412.20

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Solution

The fourth proportional to 17,964.42, 24,790.92 and 10,412.20 is: 14,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964.42 : 24,790.92 = 10,412.20 : x
  2. Step 2: Convert to fraction form
    17,964.42/24,790.92 = 10,412.20/x
  3. Step 3: Cross multiply
    17,964.42x = 24,790.92 × 10,412.20
  4. Step 4: Simplify right side
    17,964.42x = 258,128,017.22
  5. Step 5: Solve for x
    x = 258,128,017.22/17,964.42
  6. Step 6: Final answer
    x = 14,368.85

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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.