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Finding the Fourth Proportional to 17,928.39, 24,742.02 and 9,970.75

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Solution

The fourth proportional to 17,928.39, 24,742.02 and 9,970.75 is: 13,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.39 : 24,742.02 = 9,970.75 : x
  2. Step 2: Convert to fraction form
    17,928.39/24,742.02 = 9,970.75/x
  3. Step 3: Cross multiply
    17,928.39x = 24,742.02 × 9,970.75
  4. Step 4: Simplify right side
    17,928.39x = 246,696,495.92
  5. Step 5: Solve for x
    x = 246,696,495.92/17,928.39
  6. Step 6: Final answer
    x = 13,760.10

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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.