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Finding the Fourth Proportional to 25,443, 35,111.34 and 14,265

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Solution

The fourth proportional to 25,443, 35,111.34 and 14,265 is: 19,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,443 : 35,111.34 = 14,265 : x
  2. Step 2: Convert to fraction form
    25,443/35,111.34 = 14,265/x
  3. Step 3: Cross multiply
    25,443x = 35,111.34 × 14,265
  4. Step 4: Simplify right side
    25,443x = 500,863,265.10
  5. Step 5: Solve for x
    x = 500,863,265.10/25,443
  6. Step 6: Final answer
    x = 19,685.70

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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.