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Finding the Fourth Proportional to 22,779.28, 31,434.64 and 13,347.64

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Solution

The fourth proportional to 22,779.28, 31,434.64 and 13,347.64 is: 18,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,779.28 : 31,434.64 = 13,347.64 : x
  2. Step 2: Convert to fraction form
    22,779.28/31,434.64 = 13,347.64/x
  3. Step 3: Cross multiply
    22,779.28x = 31,434.64 × 13,347.64
  4. Step 4: Simplify right side
    22,779.28x = 419,578,258.25
  5. Step 5: Solve for x
    x = 419,578,258.25/22,779.28
  6. Step 6: Final answer
    x = 18,419.29

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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.