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Finding the Fourth Proportional to 19,648.28, 27,114 and 11,688.68

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Solution

The fourth proportional to 19,648.28, 27,114 and 11,688.68 is: 16,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.28 : 27,114 = 11,688.68 : x
  2. Step 2: Convert to fraction form
    19,648.28/27,114 = 11,688.68/x
  3. Step 3: Cross multiply
    19,648.28x = 27,114 × 11,688.68
  4. Step 4: Simplify right side
    19,648.28x = 316,926,869.52
  5. Step 5: Solve for x
    x = 316,926,869.52/19,648.28
  6. Step 6: Final answer
    x = 16,130.01

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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.