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Finding the Fourth Proportional to 14,076.24, 19,419.12 and 8,484

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Solution

The fourth proportional to 14,076.24, 19,419.12 and 8,484 is: 11,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.24 : 19,419.12 = 8,484 : x
  2. Step 2: Convert to fraction form
    14,076.24/19,419.12 = 8,484/x
  3. Step 3: Cross multiply
    14,076.24x = 19,419.12 × 8,484
  4. Step 4: Simplify right side
    14,076.24x = 164,751,814.08
  5. Step 5: Solve for x
    x = 164,751,814.08/14,076.24
  6. Step 6: Final answer
    x = 11,704.25

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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.