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Finding the Fourth Proportional to 12,657.87, 17,457.93 and 8,182.62

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Solution

The fourth proportional to 12,657.87, 17,457.93 and 8,182.62 is: 11,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.87 : 17,457.93 = 8,182.62 : x
  2. Step 2: Convert to fraction form
    12,657.87/17,457.93 = 8,182.62/x
  3. Step 3: Cross multiply
    12,657.87x = 17,457.93 × 8,182.62
  4. Step 4: Simplify right side
    12,657.87x = 142,851,607.18
  5. Step 5: Solve for x
    x = 142,851,607.18/12,657.87
  6. Step 6: Final answer
    x = 11,285.60

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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.