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Finding the Fourth Proportional to 12,152.90, 16,766.07 and 7,439.92

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Solution

The fourth proportional to 12,152.90, 16,766.07 and 7,439.92 is: 10,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.90 : 16,766.07 = 7,439.92 : x
  2. Step 2: Convert to fraction form
    12,152.90/16,766.07 = 7,439.92/x
  3. Step 3: Cross multiply
    12,152.90x = 16,766.07 × 7,439.92
  4. Step 4: Simplify right side
    12,152.90x = 124,738,219.51
  5. Step 5: Solve for x
    x = 124,738,219.51/12,152.90
  6. Step 6: Final answer
    x = 10,264.07

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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.