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Finding the Fourth Proportional to 15,412.95, 23,100.26 and 8,013.06

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Solution

The fourth proportional to 15,412.95, 23,100.26 and 8,013.06 is: 12,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.95 : 23,100.26 = 8,013.06 : x
  2. Step 2: Convert to fraction form
    15,412.95/23,100.26 = 8,013.06/x
  3. Step 3: Cross multiply
    15,412.95x = 23,100.26 × 8,013.06
  4. Step 4: Simplify right side
    15,412.95x = 185,103,729.33
  5. Step 5: Solve for x
    x = 185,103,729.33/15,412.95
  6. Step 6: Final answer
    x = 12,009.62

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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.