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Finding the Fourth Proportional to 12,830.54, 17,710.50 and 7,523.42

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Solution

The fourth proportional to 12,830.54, 17,710.50 and 7,523.42 is: 10,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.54 : 17,710.50 = 7,523.42 : x
  2. Step 2: Convert to fraction form
    12,830.54/17,710.50 = 7,523.42/x
  3. Step 3: Cross multiply
    12,830.54x = 17,710.50 × 7,523.42
  4. Step 4: Simplify right side
    12,830.54x = 133,243,529.91
  5. Step 5: Solve for x
    x = 133,243,529.91/12,830.54
  6. Step 6: Final answer
    x = 10,384.87

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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.