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Finding the Fourth Proportional to 34,424.60, 51,638.16 and 9,466.61

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Solution

The fourth proportional to 34,424.60, 51,638.16 and 9,466.61 is: 14,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,424.60 : 51,638.16 = 9,466.61 : x
  2. Step 2: Convert to fraction form
    34,424.60/51,638.16 = 9,466.61/x
  3. Step 3: Cross multiply
    34,424.60x = 51,638.16 × 9,466.61
  4. Step 4: Simplify right side
    34,424.60x = 488,838,063.65
  5. Step 5: Solve for x
    x = 488,838,063.65/34,424.60
  6. Step 6: Final answer
    x = 14,200.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.