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Finding the Fourth Proportional to 25,460, 35,135.04 and 14,282.24

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Solution

The fourth proportional to 25,460, 35,135.04 and 14,282.24 is: 19,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,460 : 35,135.04 = 14,282.24 : x
  2. Step 2: Convert to fraction form
    25,460/35,135.04 = 14,282.24/x
  3. Step 3: Cross multiply
    25,460x = 35,135.04 × 14,282.24
  4. Step 4: Simplify right side
    25,460x = 501,807,073.69
  5. Step 5: Solve for x
    x = 501,807,073.69/25,460
  6. Step 6: Final answer
    x = 19,709.63

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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.