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Finding the Fourth Proportional to 25,231, 34,819.86 and 14,053

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Solution

The fourth proportional to 25,231, 34,819.86 and 14,053 is: 19,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231 : 34,819.86 = 14,053 : x
  2. Step 2: Convert to fraction form
    25,231/34,819.86 = 14,053/x
  3. Step 3: Cross multiply
    25,231x = 34,819.86 × 14,053
  4. Step 4: Simplify right side
    25,231x = 489,323,492.58
  5. Step 5: Solve for x
    x = 489,323,492.58/25,231
  6. Step 6: Final answer
    x = 19,393.74

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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.