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Finding the Fourth Proportional to 14,284.58, 19,712.50 and 7,997.18

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Solution

The fourth proportional to 14,284.58, 19,712.50 and 7,997.18 is: 11,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.58 : 19,712.50 = 7,997.18 : x
  2. Step 2: Convert to fraction form
    14,284.58/19,712.50 = 7,997.18/x
  3. Step 3: Cross multiply
    14,284.58x = 19,712.50 × 7,997.18
  4. Step 4: Simplify right side
    14,284.58x = 157,644,292.19
  5. Step 5: Solve for x
    x = 157,644,292.19/14,284.58
  6. Step 6: Final answer
    x = 11,035.98

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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.