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Finding the Fourth Proportional to 16,148.25, 22,277.03 and 11,435.13

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Solution

The fourth proportional to 16,148.25, 22,277.03 and 11,435.13 is: 15,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.25 : 22,277.03 = 11,435.13 : x
  2. Step 2: Convert to fraction form
    16,148.25/22,277.03 = 11,435.13/x
  3. Step 3: Cross multiply
    16,148.25x = 22,277.03 × 11,435.13
  4. Step 4: Simplify right side
    16,148.25x = 254,740,676.89
  5. Step 5: Solve for x
    x = 254,740,676.89/16,148.25
  6. Step 6: Final answer
    x = 15,775.13

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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.