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Finding the Fourth Proportional to 17,916.32, 24,723.80 and 9,958.68

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Solution

The fourth proportional to 17,916.32, 24,723.80 and 9,958.68 is: 13,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.32 : 24,723.80 = 9,958.68 : x
  2. Step 2: Convert to fraction form
    17,916.32/24,723.80 = 9,958.68/x
  3. Step 3: Cross multiply
    17,916.32x = 24,723.80 × 9,958.68
  4. Step 4: Simplify right side
    17,916.32x = 246,216,412.58
  5. Step 5: Solve for x
    x = 246,216,412.58/17,916.32
  6. Step 6: Final answer
    x = 13,742.58

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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.