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Finding the Fourth Proportional to 25,713.86, 35,473.29 and 17,767.22

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Solution

The fourth proportional to 25,713.86, 35,473.29 and 17,767.22 is: 24,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.86 : 35,473.29 = 17,767.22 : x
  2. Step 2: Convert to fraction form
    25,713.86/35,473.29 = 17,767.22/x
  3. Step 3: Cross multiply
    25,713.86x = 35,473.29 × 17,767.22
  4. Step 4: Simplify right side
    25,713.86x = 630,261,747.55
  5. Step 5: Solve for x
    x = 630,261,747.55/25,713.86
  6. Step 6: Final answer
    x = 24,510.58

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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.