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Finding the Fourth Proportional to 14,431.22, 21,646.99 and 5,071.51

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Solution

The fourth proportional to 14,431.22, 21,646.99 and 5,071.51 is: 7,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.22 : 21,646.99 = 5,071.51 : x
  2. Step 2: Convert to fraction form
    14,431.22/21,646.99 = 5,071.51/x
  3. Step 3: Cross multiply
    14,431.22x = 21,646.99 × 5,071.51
  4. Step 4: Simplify right side
    14,431.22x = 109,782,926.25
  5. Step 5: Solve for x
    x = 109,782,926.25/14,431.22
  6. Step 6: Final answer
    x = 7,607.32

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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.