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Finding the Fourth Proportional to 23,073.82, 34,613.62 and 9,032.02

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Solution

The fourth proportional to 23,073.82, 34,613.62 and 9,032.02 is: 13,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.82 : 34,613.62 = 9,032.02 : x
  2. Step 2: Convert to fraction form
    23,073.82/34,613.62 = 9,032.02/x
  3. Step 3: Cross multiply
    23,073.82x = 34,613.62 × 9,032.02
  4. Step 4: Simplify right side
    23,073.82x = 312,630,908.11
  5. Step 5: Solve for x
    x = 312,630,908.11/23,073.82
  6. Step 6: Final answer
    x = 13,549.16

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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.