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Finding the Fourth Proportional to 23,357.39, 35,036.08 and 5,827.16

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Solution

The fourth proportional to 23,357.39, 35,036.08 and 5,827.16 is: 8,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.39 : 35,036.08 = 5,827.16 : x
  2. Step 2: Convert to fraction form
    23,357.39/35,036.08 = 5,827.16/x
  3. Step 3: Cross multiply
    23,357.39x = 35,036.08 × 5,827.16
  4. Step 4: Simplify right side
    23,357.39x = 204,160,916.96
  5. Step 5: Solve for x
    x = 204,160,916.96/23,357.39
  6. Step 6: Final answer
    x = 8,740.74

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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.