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Finding the Fourth Proportional to 12,157.60, 16,775.76 and 8,623.84

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Solution

The fourth proportional to 12,157.60, 16,775.76 and 8,623.84 is: 11,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.60 : 16,775.76 = 8,623.84 : x
  2. Step 2: Convert to fraction form
    12,157.60/16,775.76 = 8,623.84/x
  3. Step 3: Cross multiply
    12,157.60x = 16,775.76 × 8,623.84
  4. Step 4: Simplify right side
    12,157.60x = 144,671,470.12
  5. Step 5: Solve for x
    x = 144,671,470.12/12,157.60
  6. Step 6: Final answer
    x = 11,899.67

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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.