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Finding the Fourth Proportional to 25,364.96, 34,992 and 16,415.36

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Solution

The fourth proportional to 25,364.96, 34,992 and 16,415.36 is: 22,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.96 : 34,992 = 16,415.36 : x
  2. Step 2: Convert to fraction form
    25,364.96/34,992 = 16,415.36/x
  3. Step 3: Cross multiply
    25,364.96x = 34,992 × 16,415.36
  4. Step 4: Simplify right side
    25,364.96x = 574,406,277.12
  5. Step 5: Solve for x
    x = 574,406,277.12/25,364.96
  6. Step 6: Final answer
    x = 22,645.66

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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.