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Finding the Fourth Proportional to 25,643.20, 35,383.04 and 14,465.20

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Solution

The fourth proportional to 25,643.20, 35,383.04 and 14,465.20 is: 19,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.20 : 35,383.04 = 14,465.20 : x
  2. Step 2: Convert to fraction form
    25,643.20/35,383.04 = 14,465.20/x
  3. Step 3: Cross multiply
    25,643.20x = 35,383.04 × 14,465.20
  4. Step 4: Simplify right side
    25,643.20x = 511,822,750.21
  5. Step 5: Solve for x
    x = 511,822,750.21/25,643.20
  6. Step 6: Final answer
    x = 19,959.39

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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.