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Finding the Fourth Proportional to 14,902.65, 20,564.37 and 8,527.95

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Solution

The fourth proportional to 14,902.65, 20,564.37 and 8,527.95 is: 11,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.65 : 20,564.37 = 8,527.95 : x
  2. Step 2: Convert to fraction form
    14,902.65/20,564.37 = 8,527.95/x
  3. Step 3: Cross multiply
    14,902.65x = 20,564.37 × 8,527.95
  4. Step 4: Simplify right side
    14,902.65x = 175,371,919.14
  5. Step 5: Solve for x
    x = 175,371,919.14/14,902.65
  6. Step 6: Final answer
    x = 11,767.83

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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.