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Finding the Fourth Proportional to 12,048.48, 16,626.89 and 6,744.32

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Solution

The fourth proportional to 12,048.48, 16,626.89 and 6,744.32 is: 9,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.48 : 16,626.89 = 6,744.32 : x
  2. Step 2: Convert to fraction form
    12,048.48/16,626.89 = 6,744.32/x
  3. Step 3: Cross multiply
    12,048.48x = 16,626.89 × 6,744.32
  4. Step 4: Simplify right side
    12,048.48x = 112,136,949.91
  5. Step 5: Solve for x
    x = 112,136,949.91/12,048.48
  6. Step 6: Final answer
    x = 9,307.14

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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.