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Finding the Fourth Proportional to 14,312.58, 21,466.38 and 3,782.71

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Solution

The fourth proportional to 14,312.58, 21,466.38 and 3,782.71 is: 5,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.58 : 21,466.38 = 3,782.71 : x
  2. Step 2: Convert to fraction form
    14,312.58/21,466.38 = 3,782.71/x
  3. Step 3: Cross multiply
    14,312.58x = 21,466.38 × 3,782.71
  4. Step 4: Simplify right side
    14,312.58x = 81,201,090.29
  5. Step 5: Solve for x
    x = 81,201,090.29/14,312.58
  6. Step 6: Final answer
    x = 5,673.41

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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.