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Finding the Fourth Proportional to 21,536.25, 29,717.37 and 12,577.25

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Solution

The fourth proportional to 21,536.25, 29,717.37 and 12,577.25 is: 17,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.25 : 29,717.37 = 12,577.25 : x
  2. Step 2: Convert to fraction form
    21,536.25/29,717.37 = 12,577.25/x
  3. Step 3: Cross multiply
    21,536.25x = 29,717.37 × 12,577.25
  4. Step 4: Simplify right side
    21,536.25x = 373,762,643.25
  5. Step 5: Solve for x
    x = 373,762,643.25/21,536.25
  6. Step 6: Final answer
    x = 17,355.05

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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.