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Finding the Fourth Proportional to 21,510.25, 29,671.27 and 13,538.64

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Solution

The fourth proportional to 21,510.25, 29,671.27 and 13,538.64 is: 18,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.25 : 29,671.27 = 13,538.64 : x
  2. Step 2: Convert to fraction form
    21,510.25/29,671.27 = 13,538.64/x
  3. Step 3: Cross multiply
    21,510.25x = 29,671.27 × 13,538.64
  4. Step 4: Simplify right side
    21,510.25x = 401,708,642.87
  5. Step 5: Solve for x
    x = 401,708,642.87/21,510.25
  6. Step 6: Final answer
    x = 18,675.22

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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.