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Finding the Fourth Proportional to 17,164.71, 23,680.35 and 10,444.95

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Solution

The fourth proportional to 17,164.71, 23,680.35 and 10,444.95 is: 14,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.71 : 23,680.35 = 10,444.95 : x
  2. Step 2: Convert to fraction form
    17,164.71/23,680.35 = 10,444.95/x
  3. Step 3: Cross multiply
    17,164.71x = 23,680.35 × 10,444.95
  4. Step 4: Simplify right side
    17,164.71x = 247,340,071.73
  5. Step 5: Solve for x
    x = 247,340,071.73/17,164.71
  6. Step 6: Final answer
    x = 14,409.80

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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.