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Finding the Fourth Proportional to 13,688.68, 20,434 and 12,027.93

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Solution

The fourth proportional to 13,688.68, 20,434 and 12,027.93 is: 17,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.68 : 20,434 = 12,027.93 : x
  2. Step 2: Convert to fraction form
    13,688.68/20,434 = 12,027.93/x
  3. Step 3: Cross multiply
    13,688.68x = 20,434 × 12,027.93
  4. Step 4: Simplify right side
    13,688.68x = 245,778,721.62
  5. Step 5: Solve for x
    x = 245,778,721.62/13,688.68
  6. Step 6: Final answer
    x = 17,954.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.