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Finding the Fourth Proportional to 21,458.81, 29,612.33 and 11,899.08

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Solution

The fourth proportional to 21,458.81, 29,612.33 and 11,899.08 is: 16,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.81 : 29,612.33 = 11,899.08 : x
  2. Step 2: Convert to fraction form
    21,458.81/29,612.33 = 11,899.08/x
  3. Step 3: Cross multiply
    21,458.81x = 29,612.33 × 11,899.08
  4. Step 4: Simplify right side
    21,458.81x = 352,359,424.16
  5. Step 5: Solve for x
    x = 352,359,424.16/21,458.81
  6. Step 6: Final answer
    x = 16,420.27

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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.