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Finding the Fourth Proportional to 27,028, 40,531.67 and 12,984.02

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Solution

The fourth proportional to 27,028, 40,531.67 and 12,984.02 is: 19,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,028 : 40,531.67 = 12,984.02 : x
  2. Step 2: Convert to fraction form
    27,028/40,531.67 = 12,984.02/x
  3. Step 3: Cross multiply
    27,028x = 40,531.67 × 12,984.02
  4. Step 4: Simplify right side
    27,028x = 526,264,013.91
  5. Step 5: Solve for x
    x = 526,264,013.91/27,028
  6. Step 6: Final answer
    x = 19,471.07

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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.