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Finding the Fourth Proportional to 27,816.84, 38,395.50 and 24,080.16

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Solution

The fourth proportional to 27,816.84, 38,395.50 and 24,080.16 is: 33,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816.84 : 38,395.50 = 24,080.16 : x
  2. Step 2: Convert to fraction form
    27,816.84/38,395.50 = 24,080.16/x
  3. Step 3: Cross multiply
    27,816.84x = 38,395.50 × 24,080.16
  4. Step 4: Simplify right side
    27,816.84x = 924,569,783.28
  5. Step 5: Solve for x
    x = 924,569,783.28/27,816.84
  6. Step 6: Final answer
    x = 33,237.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.