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Finding the Fourth Proportional to 15,837.71, 21,856.38 and 8,764.61

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Solution

The fourth proportional to 15,837.71, 21,856.38 and 8,764.61 is: 12,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.71 : 21,856.38 = 8,764.61 : x
  2. Step 2: Convert to fraction form
    15,837.71/21,856.38 = 8,764.61/x
  3. Step 3: Cross multiply
    15,837.71x = 21,856.38 × 8,764.61
  4. Step 4: Simplify right side
    15,837.71x = 191,562,646.71
  5. Step 5: Solve for x
    x = 191,562,646.71/15,837.71
  6. Step 6: Final answer
    x = 12,095.35

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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.