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Finding the Fourth Proportional to 28,206.82, 42,301.71 and 8,480.14

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Solution

The fourth proportional to 28,206.82, 42,301.71 and 8,480.14 is: 12,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.82 : 42,301.71 = 8,480.14 : x
  2. Step 2: Convert to fraction form
    28,206.82/42,301.71 = 8,480.14/x
  3. Step 3: Cross multiply
    28,206.82x = 42,301.71 × 8,480.14
  4. Step 4: Simplify right side
    28,206.82x = 358,724,423.04
  5. Step 5: Solve for x
    x = 358,724,423.04/28,206.82
  6. Step 6: Final answer
    x = 12,717.65

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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.