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Finding the Fourth Proportional to 14,138.18, 19,502.03 and 10,164.68

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Solution

The fourth proportional to 14,138.18, 19,502.03 and 10,164.68 is: 14,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.18 : 19,502.03 = 10,164.68 : x
  2. Step 2: Convert to fraction form
    14,138.18/19,502.03 = 10,164.68/x
  3. Step 3: Cross multiply
    14,138.18x = 19,502.03 × 10,164.68
  4. Step 4: Simplify right side
    14,138.18x = 198,231,894.30
  5. Step 5: Solve for x
    x = 198,231,894.30/14,138.18
  6. Step 6: Final answer
    x = 14,021.03

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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.