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Finding the Fourth Proportional to 25,513, 35,207.30 and 14,182.52

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Solution

The fourth proportional to 25,513, 35,207.30 and 14,182.52 is: 19,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,513 : 35,207.30 = 14,182.52 : x
  2. Step 2: Convert to fraction form
    25,513/35,207.30 = 14,182.52/x
  3. Step 3: Cross multiply
    25,513x = 35,207.30 × 14,182.52
  4. Step 4: Simplify right side
    25,513x = 499,328,236.40
  5. Step 5: Solve for x
    x = 499,328,236.40/25,513
  6. Step 6: Final answer
    x = 19,571.52

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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.