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Finding the Fourth Proportional to 12,429.90, 17,153.02 and 6,764.54

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Solution

The fourth proportional to 12,429.90, 17,153.02 and 6,764.54 is: 9,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.90 : 17,153.02 = 6,764.54 : x
  2. Step 2: Convert to fraction form
    12,429.90/17,153.02 = 6,764.54/x
  3. Step 3: Cross multiply
    12,429.90x = 17,153.02 × 6,764.54
  4. Step 4: Simplify right side
    12,429.90x = 116,032,289.91
  5. Step 5: Solve for x
    x = 116,032,289.91/12,429.90
  6. Step 6: Final answer
    x = 9,334.93

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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.