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Finding the Fourth Proportional to 25,634, 35,374.92 and 13,858

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Solution

The fourth proportional to 25,634, 35,374.92 and 13,858 is: 19,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634 : 35,374.92 = 13,858 : x
  2. Step 2: Convert to fraction form
    25,634/35,374.92 = 13,858/x
  3. Step 3: Cross multiply
    25,634x = 35,374.92 × 13,858
  4. Step 4: Simplify right side
    25,634x = 490,225,641.36
  5. Step 5: Solve for x
    x = 490,225,641.36/25,634
  6. Step 6: Final answer
    x = 19,124.04

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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.