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Finding the Fourth Proportional to 21,032.25, 29,022.40 and 12,417.09

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Solution

The fourth proportional to 21,032.25, 29,022.40 and 12,417.09 is: 17,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.25 : 29,022.40 = 12,417.09 : x
  2. Step 2: Convert to fraction form
    21,032.25/29,022.40 = 12,417.09/x
  3. Step 3: Cross multiply
    21,032.25x = 29,022.40 × 12,417.09
  4. Step 4: Simplify right side
    21,032.25x = 360,373,752.82
  5. Step 5: Solve for x
    x = 360,373,752.82/21,032.25
  6. Step 6: Final answer
    x = 17,134.34

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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.