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Finding the Fourth Proportional to 25,447, 35,116.86 and 14,269

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Solution

The fourth proportional to 25,447, 35,116.86 and 14,269 is: 19,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,447 : 35,116.86 = 14,269 : x
  2. Step 2: Convert to fraction form
    25,447/35,116.86 = 14,269/x
  3. Step 3: Cross multiply
    25,447x = 35,116.86 × 14,269
  4. Step 4: Simplify right side
    25,447x = 501,082,475.34
  5. Step 5: Solve for x
    x = 501,082,475.34/25,447
  6. Step 6: Final answer
    x = 19,691.22

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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.