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Finding the Fourth Proportional to 16,265.54, 22,452.72 and 13,988

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Solution

The fourth proportional to 16,265.54, 22,452.72 and 13,988 is: 19,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.54 : 22,452.72 = 13,988 : x
  2. Step 2: Convert to fraction form
    16,265.54/22,452.72 = 13,988/x
  3. Step 3: Cross multiply
    16,265.54x = 22,452.72 × 13,988
  4. Step 4: Simplify right side
    16,265.54x = 314,068,647.36
  5. Step 5: Solve for x
    x = 314,068,647.36/16,265.54
  6. Step 6: Final answer
    x = 19,308.84

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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.