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Finding the Fourth Proportional to 14,419.68, 19,899.72 and 8,132.28

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Solution

The fourth proportional to 14,419.68, 19,899.72 and 8,132.28 is: 11,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.68 : 19,899.72 = 8,132.28 : x
  2. Step 2: Convert to fraction form
    14,419.68/19,899.72 = 8,132.28/x
  3. Step 3: Cross multiply
    14,419.68x = 19,899.72 × 8,132.28
  4. Step 4: Simplify right side
    14,419.68x = 161,830,094.96
  5. Step 5: Solve for x
    x = 161,830,094.96/14,419.68
  6. Step 6: Final answer
    x = 11,222.86

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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.