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Finding the Fourth Proportional to 20,114.84, 27,750.86 and 14,822.28

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Solution

The fourth proportional to 20,114.84, 27,750.86 and 14,822.28 is: 20,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.84 : 27,750.86 = 14,822.28 : x
  2. Step 2: Convert to fraction form
    20,114.84/27,750.86 = 14,822.28/x
  3. Step 3: Cross multiply
    20,114.84x = 27,750.86 × 14,822.28
  4. Step 4: Simplify right side
    20,114.84x = 411,331,017.16
  5. Step 5: Solve for x
    x = 411,331,017.16/20,114.84
  6. Step 6: Final answer
    x = 20,449.13

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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.