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Finding the Fourth Proportional to 27,774.34, 41,661.51 and 12,192.10

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Solution

The fourth proportional to 27,774.34, 41,661.51 and 12,192.10 is: 18,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.34 : 41,661.51 = 12,192.10 : x
  2. Step 2: Convert to fraction form
    27,774.34/41,661.51 = 12,192.10/x
  3. Step 3: Cross multiply
    27,774.34x = 41,661.51 × 12,192.10
  4. Step 4: Simplify right side
    27,774.34x = 507,941,296.07
  5. Step 5: Solve for x
    x = 507,941,296.07/27,774.34
  6. Step 6: Final answer
    x = 18,288.15

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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.