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Finding the Fourth Proportional to 12,705.42, 17,527.59 and 8,230.68

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Solution

The fourth proportional to 12,705.42, 17,527.59 and 8,230.68 is: 11,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.42 : 17,527.59 = 8,230.68 : x
  2. Step 2: Convert to fraction form
    12,705.42/17,527.59 = 8,230.68/x
  3. Step 3: Cross multiply
    12,705.42x = 17,527.59 × 8,230.68
  4. Step 4: Simplify right side
    12,705.42x = 144,263,984.46
  5. Step 5: Solve for x
    x = 144,263,984.46/12,705.42
  6. Step 6: Final answer
    x = 11,354.52

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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.