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Finding the Fourth Proportional to 27,101.84, 40,623.10 and 13,955.00

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Solution

The fourth proportional to 27,101.84, 40,623.10 and 13,955.00 is: 20,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.84 : 40,623.10 = 13,955.00 : x
  2. Step 2: Convert to fraction form
    27,101.84/40,623.10 = 13,955.00/x
  3. Step 3: Cross multiply
    27,101.84x = 40,623.10 × 13,955.00
  4. Step 4: Simplify right side
    27,101.84x = 566,895,122.50
  5. Step 5: Solve for x
    x = 566,895,122.50/27,101.84
  6. Step 6: Final answer
    x = 20,917.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.