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Finding the Fourth Proportional to 27,312.30, 40,981.83 and 9,783.48

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Solution

The fourth proportional to 27,312.30, 40,981.83 and 9,783.48 is: 14,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.30 : 40,981.83 = 9,783.48 : x
  2. Step 2: Convert to fraction form
    27,312.30/40,981.83 = 9,783.48/x
  3. Step 3: Cross multiply
    27,312.30x = 40,981.83 × 9,783.48
  4. Step 4: Simplify right side
    27,312.30x = 400,944,914.17
  5. Step 5: Solve for x
    x = 400,944,914.17/27,312.30
  6. Step 6: Final answer
    x = 14,680.01

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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.