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Finding the Fourth Proportional to 25,523, 35,221.76 and 14,345

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Solution

The fourth proportional to 25,523, 35,221.76 and 14,345 is: 19,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523 : 35,221.76 = 14,345 : x
  2. Step 2: Convert to fraction form
    25,523/35,221.76 = 14,345/x
  3. Step 3: Cross multiply
    25,523x = 35,221.76 × 14,345
  4. Step 4: Simplify right side
    25,523x = 505,256,147.20
  5. Step 5: Solve for x
    x = 505,256,147.20/25,523
  6. Step 6: Final answer
    x = 19,796.11

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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.