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Finding the Fourth Proportional to 21,535.64, 29,712.31 and 13,035.05

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Solution

The fourth proportional to 21,535.64, 29,712.31 and 13,035.05 is: 17,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.64 : 29,712.31 = 13,035.05 : x
  2. Step 2: Convert to fraction form
    21,535.64/29,712.31 = 13,035.05/x
  3. Step 3: Cross multiply
    21,535.64x = 29,712.31 × 13,035.05
  4. Step 4: Simplify right side
    21,535.64x = 387,301,446.47
  5. Step 5: Solve for x
    x = 387,301,446.47/21,535.64
  6. Step 6: Final answer
    x = 17,984.21

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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.