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Finding the Fourth Proportional to 34,008.12, 51,018.66 and 13,230

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Solution

The fourth proportional to 34,008.12, 51,018.66 and 13,230 is: 19,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008.12 : 51,018.66 = 13,230 : x
  2. Step 2: Convert to fraction form
    34,008.12/51,018.66 = 13,230/x
  3. Step 3: Cross multiply
    34,008.12x = 51,018.66 × 13,230
  4. Step 4: Simplify right side
    34,008.12x = 674,976,871.80
  5. Step 5: Solve for x
    x = 674,976,871.80/34,008.12
  6. Step 6: Final answer
    x = 19,847.52

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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.