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Finding the Fourth Proportional to 14,132.81, 19,503.41 and 8,164.34

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Solution

The fourth proportional to 14,132.81, 19,503.41 and 8,164.34 is: 11,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.81 : 19,503.41 = 8,164.34 : x
  2. Step 2: Convert to fraction form
    14,132.81/19,503.41 = 8,164.34/x
  3. Step 3: Cross multiply
    14,132.81x = 19,503.41 × 8,164.34
  4. Step 4: Simplify right side
    14,132.81x = 159,232,332.06
  5. Step 5: Solve for x
    x = 159,232,332.06/14,132.81
  6. Step 6: Final answer
    x = 11,266.86

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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.