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Finding the Fourth Proportional to 18,770.40, 25,901.28 and 10,386

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Solution

The fourth proportional to 18,770.40, 25,901.28 and 10,386 is: 14,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,770.40 : 25,901.28 = 10,386 : x
  2. Step 2: Convert to fraction form
    18,770.40/25,901.28 = 10,386/x
  3. Step 3: Cross multiply
    18,770.40x = 25,901.28 × 10,386
  4. Step 4: Simplify right side
    18,770.40x = 269,010,694.08
  5. Step 5: Solve for x
    x = 269,010,694.08/18,770.40
  6. Step 6: Final answer
    x = 14,331.64

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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.