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Finding the Fourth Proportional to 12,527.85, 18,792.23 and 4,208.14

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Solution

The fourth proportional to 12,527.85, 18,792.23 and 4,208.14 is: 6,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.85 : 18,792.23 = 4,208.14 : x
  2. Step 2: Convert to fraction form
    12,527.85/18,792.23 = 4,208.14/x
  3. Step 3: Cross multiply
    12,527.85x = 18,792.23 × 4,208.14
  4. Step 4: Simplify right side
    12,527.85x = 79,080,334.75
  5. Step 5: Solve for x
    x = 79,080,334.75/12,527.85
  6. Step 6: Final answer
    x = 6,312.36

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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.