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Finding the Fourth Proportional to 23,158.34, 34,742.37 and 7,574.75

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Solution

The fourth proportional to 23,158.34, 34,742.37 and 7,574.75 is: 11,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.34 : 34,742.37 = 7,574.75 : x
  2. Step 2: Convert to fraction form
    23,158.34/34,742.37 = 7,574.75/x
  3. Step 3: Cross multiply
    23,158.34x = 34,742.37 × 7,574.75
  4. Step 4: Simplify right side
    23,158.34x = 263,164,767.16
  5. Step 5: Solve for x
    x = 263,164,767.16/23,158.34
  6. Step 6: Final answer
    x = 11,363.71

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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.