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Finding the Fourth Proportional to 14,129.94, 19,499.64 and 8,465.21

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Solution

The fourth proportional to 14,129.94, 19,499.64 and 8,465.21 is: 11,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.94 : 19,499.64 = 8,465.21 : x
  2. Step 2: Convert to fraction form
    14,129.94/19,499.64 = 8,465.21/x
  3. Step 3: Cross multiply
    14,129.94x = 19,499.64 × 8,465.21
  4. Step 4: Simplify right side
    14,129.94x = 165,068,491.41
  5. Step 5: Solve for x
    x = 165,068,491.41/14,129.94
  6. Step 6: Final answer
    x = 11,682.18

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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.