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Finding the Fourth Proportional to 27,610.16, 41,415.08 and 12,024.08

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Solution

The fourth proportional to 27,610.16, 41,415.08 and 12,024.08 is: 18,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610.16 : 41,415.08 = 12,024.08 : x
  2. Step 2: Convert to fraction form
    27,610.16/41,415.08 = 12,024.08/x
  3. Step 3: Cross multiply
    27,610.16x = 41,415.08 × 12,024.08
  4. Step 4: Simplify right side
    27,610.16x = 497,978,235.13
  5. Step 5: Solve for x
    x = 497,978,235.13/27,610.16
  6. Step 6: Final answer
    x = 18,036.05

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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.