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Finding the Fourth Proportional to 25,465.97, 35,142.38 and 14,135.13

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Solution

The fourth proportional to 25,465.97, 35,142.38 and 14,135.13 is: 19,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.97 : 35,142.38 = 14,135.13 : x
  2. Step 2: Convert to fraction form
    25,465.97/35,142.38 = 14,135.13/x
  3. Step 3: Cross multiply
    25,465.97x = 35,142.38 × 14,135.13
  4. Step 4: Simplify right side
    25,465.97x = 496,742,230.73
  5. Step 5: Solve for x
    x = 496,742,230.73/25,465.97
  6. Step 6: Final answer
    x = 19,506.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.