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Finding the Fourth Proportional to 12,147.84, 16,740.54 and 8,784.72

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Solution

The fourth proportional to 12,147.84, 16,740.54 and 8,784.72 is: 12,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.84 : 16,740.54 = 8,784.72 : x
  2. Step 2: Convert to fraction form
    12,147.84/16,740.54 = 8,784.72/x
  3. Step 3: Cross multiply
    12,147.84x = 16,740.54 × 8,784.72
  4. Step 4: Simplify right side
    12,147.84x = 147,060,956.55
  5. Step 5: Solve for x
    x = 147,060,956.55/12,147.84
  6. Step 6: Final answer
    x = 12,105.93

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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.