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Finding the Fourth Proportional to 21,175.67, 31,767.15 and 11,312.30

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Solution

The fourth proportional to 21,175.67, 31,767.15 and 11,312.30 is: 16,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.67 : 31,767.15 = 11,312.30 : x
  2. Step 2: Convert to fraction form
    21,175.67/31,767.15 = 11,312.30/x
  3. Step 3: Cross multiply
    21,175.67x = 31,767.15 × 11,312.30
  4. Step 4: Simplify right side
    21,175.67x = 359,359,530.95
  5. Step 5: Solve for x
    x = 359,359,530.95/21,175.67
  6. Step 6: Final answer
    x = 16,970.40

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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.