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Finding the Fourth Proportional to 15,742.41, 21,727.50 and 9,032.42

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Solution

The fourth proportional to 15,742.41, 21,727.50 and 9,032.42 is: 12,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.41 : 21,727.50 = 9,032.42 : x
  2. Step 2: Convert to fraction form
    15,742.41/21,727.50 = 9,032.42/x
  3. Step 3: Cross multiply
    15,742.41x = 21,727.50 × 9,032.42
  4. Step 4: Simplify right side
    15,742.41x = 196,252,020.06
  5. Step 5: Solve for x
    x = 196,252,020.06/15,742.41
  6. Step 6: Final answer
    x = 12,466.45

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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.