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Finding the Fourth Proportional to 15,841.71, 21,852.78 and 10,177.29

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Solution

The fourth proportional to 15,841.71, 21,852.78 and 10,177.29 is: 14,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.71 : 21,852.78 = 10,177.29 : x
  2. Step 2: Convert to fraction form
    15,841.71/21,852.78 = 10,177.29/x
  3. Step 3: Cross multiply
    15,841.71x = 21,852.78 × 10,177.29
  4. Step 4: Simplify right side
    15,841.71x = 222,402,079.37
  5. Step 5: Solve for x
    x = 222,402,079.37/15,841.71
  6. Step 6: Final answer
    x = 14,039.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.