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Finding the Fourth Proportional to 14,101.29, 19,459.24 and 8,134.02

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Solution

The fourth proportional to 14,101.29, 19,459.24 and 8,134.02 is: 11,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.29 : 19,459.24 = 8,134.02 : x
  2. Step 2: Convert to fraction form
    14,101.29/19,459.24 = 8,134.02/x
  3. Step 3: Cross multiply
    14,101.29x = 19,459.24 × 8,134.02
  4. Step 4: Simplify right side
    14,101.29x = 158,281,827.01
  5. Step 5: Solve for x
    x = 158,281,827.01/14,101.29
  6. Step 6: Final answer
    x = 11,224.63

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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.