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Finding the Fourth Proportional to 12,830.14, 17,700.69 and 7,792.57

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Solution

The fourth proportional to 12,830.14, 17,700.69 and 7,792.57 is: 10,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.14 : 17,700.69 = 7,792.57 : x
  2. Step 2: Convert to fraction form
    12,830.14/17,700.69 = 7,792.57/x
  3. Step 3: Cross multiply
    12,830.14x = 17,700.69 × 7,792.57
  4. Step 4: Simplify right side
    12,830.14x = 137,933,865.87
  5. Step 5: Solve for x
    x = 137,933,865.87/12,830.14
  6. Step 6: Final answer
    x = 10,750.77

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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.