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Finding the Fourth Proportional to 21,437.90, 32,167.82 and 10,205.94

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Solution

The fourth proportional to 21,437.90, 32,167.82 and 10,205.94 is: 15,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,437.90 : 32,167.82 = 10,205.94 : x
  2. Step 2: Convert to fraction form
    21,437.90/32,167.82 = 10,205.94/x
  3. Step 3: Cross multiply
    21,437.90x = 32,167.82 × 10,205.94
  4. Step 4: Simplify right side
    21,437.90x = 328,302,745.74
  5. Step 5: Solve for x
    x = 328,302,745.74/21,437.90
  6. Step 6: Final answer
    x = 15,314.13

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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.