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Finding the Fourth Proportional to 15,774.93, 23,665.23 and 5,384.25

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Solution

The fourth proportional to 15,774.93, 23,665.23 and 5,384.25 is: 8,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.93 : 23,665.23 = 5,384.25 : x
  2. Step 2: Convert to fraction form
    15,774.93/23,665.23 = 5,384.25/x
  3. Step 3: Cross multiply
    15,774.93x = 23,665.23 × 5,384.25
  4. Step 4: Simplify right side
    15,774.93x = 127,419,514.63
  5. Step 5: Solve for x
    x = 127,419,514.63/15,774.93
  6. Step 6: Final answer
    x = 8,077.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.