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Finding the Fourth Proportional to 12,830.98, 17,711.46 and 7,530.24

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Solution

The fourth proportional to 12,830.98, 17,711.46 and 7,530.24 is: 10,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.98 : 17,711.46 = 7,530.24 : x
  2. Step 2: Convert to fraction form
    12,830.98/17,711.46 = 7,530.24/x
  3. Step 3: Cross multiply
    12,830.98x = 17,711.46 × 7,530.24
  4. Step 4: Simplify right side
    12,830.98x = 133,371,544.55
  5. Step 5: Solve for x
    x = 133,371,544.55/12,830.98
  6. Step 6: Final answer
    x = 10,394.49

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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.