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Finding the Fourth Proportional to 13,646.58, 20,457.09 and 12,429.24

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Solution

The fourth proportional to 13,646.58, 20,457.09 and 12,429.24 is: 18,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.58 : 20,457.09 = 12,429.24 : x
  2. Step 2: Convert to fraction form
    13,646.58/20,457.09 = 12,429.24/x
  3. Step 3: Cross multiply
    13,646.58x = 20,457.09 × 12,429.24
  4. Step 4: Simplify right side
    13,646.58x = 254,266,081.31
  5. Step 5: Solve for x
    x = 254,266,081.31/13,646.58
  6. Step 6: Final answer
    x = 18,632.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.