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Finding the Fourth Proportional to 12,148.34, 16,766.06 and 7,671.87

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Solution

The fourth proportional to 12,148.34, 16,766.06 and 7,671.87 is: 10,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.34 : 16,766.06 = 7,671.87 : x
  2. Step 2: Convert to fraction form
    12,148.34/16,766.06 = 7,671.87/x
  3. Step 3: Cross multiply
    12,148.34x = 16,766.06 × 7,671.87
  4. Step 4: Simplify right side
    12,148.34x = 128,626,994.37
  5. Step 5: Solve for x
    x = 128,626,994.37/12,148.34
  6. Step 6: Final answer
    x = 10,588.03

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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.