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Finding the Fourth Proportional to 14,285.68, 19,714.24 and 7,998

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Solution

The fourth proportional to 14,285.68, 19,714.24 and 7,998 is: 11,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.68 : 19,714.24 = 7,998 : x
  2. Step 2: Convert to fraction form
    14,285.68/19,714.24 = 7,998/x
  3. Step 3: Cross multiply
    14,285.68x = 19,714.24 × 7,998
  4. Step 4: Simplify right side
    14,285.68x = 157,674,491.52
  5. Step 5: Solve for x
    x = 157,674,491.52/14,285.68
  6. Step 6: Final answer
    x = 11,037.24

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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.