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Finding the Fourth Proportional to 15,875.73, 21,908.25 and 8,802

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Solution

The fourth proportional to 15,875.73, 21,908.25 and 8,802 is: 12,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.73 : 21,908.25 = 8,802 : x
  2. Step 2: Convert to fraction form
    15,875.73/21,908.25 = 8,802/x
  3. Step 3: Cross multiply
    15,875.73x = 21,908.25 × 8,802
  4. Step 4: Simplify right side
    15,875.73x = 192,836,416.50
  5. Step 5: Solve for x
    x = 192,836,416.50/15,875.73
  6. Step 6: Final answer
    x = 12,146.62

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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.