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Finding the Fourth Proportional to 12,024.90, 16,583.62 and 7,549.07

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Solution

The fourth proportional to 12,024.90, 16,583.62 and 7,549.07 is: 10,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.90 : 16,583.62 = 7,549.07 : x
  2. Step 2: Convert to fraction form
    12,024.90/16,583.62 = 7,549.07/x
  3. Step 3: Cross multiply
    12,024.90x = 16,583.62 × 7,549.07
  4. Step 4: Simplify right side
    12,024.90x = 125,190,787.57
  5. Step 5: Solve for x
    x = 125,190,787.57/12,024.90
  6. Step 6: Final answer
    x = 10,410.96

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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.