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Finding the Fourth Proportional to 23,154.54, 34,707.33 and 7,567.98

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Solution

The fourth proportional to 23,154.54, 34,707.33 and 7,567.98 is: 11,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.54 : 34,707.33 = 7,567.98 : x
  2. Step 2: Convert to fraction form
    23,154.54/34,707.33 = 7,567.98/x
  3. Step 3: Cross multiply
    23,154.54x = 34,707.33 × 7,567.98
  4. Step 4: Simplify right side
    23,154.54x = 262,664,379.29
  5. Step 5: Solve for x
    x = 262,664,379.29/23,154.54
  6. Step 6: Final answer
    x = 11,343.97

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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.