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Finding the Fourth Proportional to 19,652.50, 27,120.45 and 10,820.50

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Solution

The fourth proportional to 19,652.50, 27,120.45 and 10,820.50 is: 14,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.50 : 27,120.45 = 10,820.50 : x
  2. Step 2: Convert to fraction form
    19,652.50/27,120.45 = 10,820.50/x
  3. Step 3: Cross multiply
    19,652.50x = 27,120.45 × 10,820.50
  4. Step 4: Simplify right side
    19,652.50x = 293,456,829.23
  5. Step 5: Solve for x
    x = 293,456,829.23/19,652.50
  6. Step 6: Final answer
    x = 14,932.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.