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Finding the Fourth Proportional to 27,036.14, 40,543.86 and 12,992.18

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Solution

The fourth proportional to 27,036.14, 40,543.86 and 12,992.18 is: 19,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036.14 : 40,543.86 = 12,992.18 : x
  2. Step 2: Convert to fraction form
    27,036.14/40,543.86 = 12,992.18/x
  3. Step 3: Cross multiply
    27,036.14x = 40,543.86 × 12,992.18
  4. Step 4: Simplify right side
    27,036.14x = 526,753,127.01
  5. Step 5: Solve for x
    x = 526,753,127.01/27,036.14
  6. Step 6: Final answer
    x = 19,483.30

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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.