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Finding the Fourth Proportional to 20,210.84, 30,298.68 and 8,357.23

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Solution

The fourth proportional to 20,210.84, 30,298.68 and 8,357.23 is: 12,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.84 : 30,298.68 = 8,357.23 : x
  2. Step 2: Convert to fraction form
    20,210.84/30,298.68 = 8,357.23/x
  3. Step 3: Cross multiply
    20,210.84x = 30,298.68 × 8,357.23
  4. Step 4: Simplify right side
    20,210.84x = 253,212,928.40
  5. Step 5: Solve for x
    x = 253,212,928.40/20,210.84
  6. Step 6: Final answer
    x = 12,528.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.