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Finding the Fourth Proportional to 27,981.64, 41,973.27 and 7,205.14

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Solution

The fourth proportional to 27,981.64, 41,973.27 and 7,205.14 is: 10,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981.64 : 41,973.27 = 7,205.14 : x
  2. Step 2: Convert to fraction form
    27,981.64/41,973.27 = 7,205.14/x
  3. Step 3: Cross multiply
    27,981.64x = 41,973.27 × 7,205.14
  4. Step 4: Simplify right side
    27,981.64x = 302,423,286.61
  5. Step 5: Solve for x
    x = 302,423,286.61/27,981.64
  6. Step 6: Final answer
    x = 10,807.92

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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.