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Finding the Fourth Proportional to 27,802.17, 41,708.70 and 12,219.75

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Solution

The fourth proportional to 27,802.17, 41,708.70 and 12,219.75 is: 18,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.17 : 41,708.70 = 12,219.75 : x
  2. Step 2: Convert to fraction form
    27,802.17/41,708.70 = 12,219.75/x
  3. Step 3: Cross multiply
    27,802.17x = 41,708.70 × 12,219.75
  4. Step 4: Simplify right side
    27,802.17x = 509,669,886.83
  5. Step 5: Solve for x
    x = 509,669,886.83/27,802.17
  6. Step 6: Final answer
    x = 18,332.02

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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.