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Finding the Fourth Proportional to 14,297.68, 19,730.76 and 8,010

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Solution

The fourth proportional to 14,297.68, 19,730.76 and 8,010 is: 11,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.68 : 19,730.76 = 8,010 : x
  2. Step 2: Convert to fraction form
    14,297.68/19,730.76 = 8,010/x
  3. Step 3: Cross multiply
    14,297.68x = 19,730.76 × 8,010
  4. Step 4: Simplify right side
    14,297.68x = 158,043,387.60
  5. Step 5: Solve for x
    x = 158,043,387.60/14,297.68
  6. Step 6: Final answer
    x = 11,053.78

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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.