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Finding the Fourth Proportional to 21,004.90, 31,507.35 and 14,411.09

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Solution

The fourth proportional to 21,004.90, 31,507.35 and 14,411.09 is: 21,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.90 : 31,507.35 = 14,411.09 : x
  2. Step 2: Convert to fraction form
    21,004.90/31,507.35 = 14,411.09/x
  3. Step 3: Cross multiply
    21,004.90x = 31,507.35 × 14,411.09
  4. Step 4: Simplify right side
    21,004.90x = 454,055,256.51
  5. Step 5: Solve for x
    x = 454,055,256.51/21,004.90
  6. Step 6: Final answer
    x = 21,616.64

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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.