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Finding the Fourth Proportional to 38,527.29, 57,807.63 and 13,585.16

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Solution

The fourth proportional to 38,527.29, 57,807.63 and 13,585.16 is: 20,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527.29 : 57,807.63 = 13,585.16 : x
  2. Step 2: Convert to fraction form
    38,527.29/57,807.63 = 13,585.16/x
  3. Step 3: Cross multiply
    38,527.29x = 57,807.63 × 13,585.16
  4. Step 4: Simplify right side
    38,527.29x = 785,325,613.73
  5. Step 5: Solve for x
    x = 785,325,613.73/38,527.29
  6. Step 6: Final answer
    x = 20,383.62

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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.