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Finding the Fourth Proportional to 18,970.92, 26,181.06 and 10,587.48

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Solution

The fourth proportional to 18,970.92, 26,181.06 and 10,587.48 is: 14,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.92 : 26,181.06 = 10,587.48 : x
  2. Step 2: Convert to fraction form
    18,970.92/26,181.06 = 10,587.48/x
  3. Step 3: Cross multiply
    18,970.92x = 26,181.06 × 10,587.48
  4. Step 4: Simplify right side
    18,970.92x = 277,191,449.13
  5. Step 5: Solve for x
    x = 277,191,449.13/18,970.92
  6. Step 6: Final answer
    x = 14,611.39

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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.