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Finding the Fourth Proportional to 14,767.83, 20,370.29 and 9,466.11

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Solution

The fourth proportional to 14,767.83, 20,370.29 and 9,466.11 is: 13,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.83 : 20,370.29 = 9,466.11 : x
  2. Step 2: Convert to fraction form
    14,767.83/20,370.29 = 9,466.11/x
  3. Step 3: Cross multiply
    14,767.83x = 20,370.29 × 9,466.11
  4. Step 4: Simplify right side
    14,767.83x = 192,827,358.54
  5. Step 5: Solve for x
    x = 192,827,358.54/14,767.83
  6. Step 6: Final answer
    x = 13,057.26

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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.