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Finding the Fourth Proportional to 11,902.08, 17,870.40 and 8,457.60

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Solution

The fourth proportional to 11,902.08, 17,870.40 and 8,457.60 is: 12,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.08 : 17,870.40 = 8,457.60 : x
  2. Step 2: Convert to fraction form
    11,902.08/17,870.40 = 8,457.60/x
  3. Step 3: Cross multiply
    11,902.08x = 17,870.40 × 8,457.60
  4. Step 4: Simplify right side
    11,902.08x = 151,140,695.04
  5. Step 5: Solve for x
    x = 151,140,695.04/11,902.08
  6. Step 6: Final answer
    x = 12,698.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.