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Finding the Fourth Proportional to 15,072.24, 22,573.80 and 8,130

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Solution

The fourth proportional to 15,072.24, 22,573.80 and 8,130 is: 12,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.24 : 22,573.80 = 8,130 : x
  2. Step 2: Convert to fraction form
    15,072.24/22,573.80 = 8,130/x
  3. Step 3: Cross multiply
    15,072.24x = 22,573.80 × 8,130
  4. Step 4: Simplify right side
    15,072.24x = 183,524,994
  5. Step 5: Solve for x
    x = 183,524,994/15,072.24
  6. Step 6: Final answer
    x = 12,176.36

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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.