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Finding the Fourth Proportional to 19,683.64, 27,160.14 and 11,300.68

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Solution

The fourth proportional to 19,683.64, 27,160.14 and 11,300.68 is: 15,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.64 : 27,160.14 = 11,300.68 : x
  2. Step 2: Convert to fraction form
    19,683.64/27,160.14 = 11,300.68/x
  3. Step 3: Cross multiply
    19,683.64x = 27,160.14 × 11,300.68
  4. Step 4: Simplify right side
    19,683.64x = 306,928,050.90
  5. Step 5: Solve for x
    x = 306,928,050.90/19,683.64
  6. Step 6: Final answer
    x = 15,593.05

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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.