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Finding the Fourth Proportional to 14,132.10, 19,503.18 and 8,164.02

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Solution

The fourth proportional to 14,132.10, 19,503.18 and 8,164.02 is: 11,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.10 : 19,503.18 = 8,164.02 : x
  2. Step 2: Convert to fraction form
    14,132.10/19,503.18 = 8,164.02/x
  3. Step 3: Cross multiply
    14,132.10x = 19,503.18 × 8,164.02
  4. Step 4: Simplify right side
    14,132.10x = 159,224,351.58
  5. Step 5: Solve for x
    x = 159,224,351.58/14,132.10
  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.