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Finding the Fourth Proportional to 14,511.51, 20,029.14 and 9,466.83

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Solution

The fourth proportional to 14,511.51, 20,029.14 and 9,466.83 is: 13,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.51 : 20,029.14 = 9,466.83 : x
  2. Step 2: Convert to fraction form
    14,511.51/20,029.14 = 9,466.83/x
  3. Step 3: Cross multiply
    14,511.51x = 20,029.14 × 9,466.83
  4. Step 4: Simplify right side
    14,511.51x = 189,612,463.43
  5. Step 5: Solve for x
    x = 189,612,463.43/14,511.51
  6. Step 6: Final answer
    x = 13,066.35

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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.