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Finding the Fourth Proportional to 14,008.42, 19,339.53 and 9,299.14

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Solution

The fourth proportional to 14,008.42, 19,339.53 and 9,299.14 is: 12,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.42 : 19,339.53 = 9,299.14 : x
  2. Step 2: Convert to fraction form
    14,008.42/19,339.53 = 9,299.14/x
  3. Step 3: Cross multiply
    14,008.42x = 19,339.53 × 9,299.14
  4. Step 4: Simplify right side
    14,008.42x = 179,840,997.00
  5. Step 5: Solve for x
    x = 179,840,997.00/14,008.42
  6. Step 6: Final answer
    x = 12,838.06

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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.