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Finding the Fourth Proportional to 12,130.42, 16,738.73 and 6,824.80

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Solution

The fourth proportional to 12,130.42, 16,738.73 and 6,824.80 is: 9,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.42 : 16,738.73 = 6,824.80 : x
  2. Step 2: Convert to fraction form
    12,130.42/16,738.73 = 6,824.80/x
  3. Step 3: Cross multiply
    12,130.42x = 16,738.73 × 6,824.80
  4. Step 4: Simplify right side
    12,130.42x = 114,238,484.50
  5. Step 5: Solve for x
    x = 114,238,484.50/12,130.42
  6. Step 6: Final answer
    x = 9,417.52

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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.