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Finding the Fourth Proportional to 25,407, 35,061.66 and 14,229

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Solution

The fourth proportional to 25,407, 35,061.66 and 14,229 is: 19,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407 : 35,061.66 = 14,229 : x
  2. Step 2: Convert to fraction form
    25,407/35,061.66 = 14,229/x
  3. Step 3: Cross multiply
    25,407x = 35,061.66 × 14,229
  4. Step 4: Simplify right side
    25,407x = 498,892,360.14
  5. Step 5: Solve for x
    x = 498,892,360.14/25,407
  6. Step 6: Final answer
    x = 19,636.02

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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.