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Finding the Fourth Proportional to 12,829.96, 17,700.58 and 7,522.84

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Solution

The fourth proportional to 12,829.96, 17,700.58 and 7,522.84 is: 10,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.96 : 17,700.58 = 7,522.84 : x
  2. Step 2: Convert to fraction form
    12,829.96/17,700.58 = 7,522.84/x
  3. Step 3: Cross multiply
    12,829.96x = 17,700.58 × 7,522.84
  4. Step 4: Simplify right side
    12,829.96x = 133,158,631.25
  5. Step 5: Solve for x
    x = 133,158,631.25/12,829.96
  6. Step 6: Final answer
    x = 10,378.73

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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.