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Finding the Fourth Proportional to 27,688.50, 38,210.94 and 15,114.06

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Solution

The fourth proportional to 27,688.50, 38,210.94 and 15,114.06 is: 20,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.50 : 38,210.94 = 15,114.06 : x
  2. Step 2: Convert to fraction form
    27,688.50/38,210.94 = 15,114.06/x
  3. Step 3: Cross multiply
    27,688.50x = 38,210.94 × 15,114.06
  4. Step 4: Simplify right side
    27,688.50x = 577,522,439.82
  5. Step 5: Solve for x
    x = 577,522,439.82/27,688.50
  6. Step 6: Final answer
    x = 20,857.84

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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.