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Finding the Fourth Proportional to 21,175.29, 31,763.22 and 14,599.71

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Solution

The fourth proportional to 21,175.29, 31,763.22 and 14,599.71 is: 21,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.29 : 31,763.22 = 14,599.71 : x
  2. Step 2: Convert to fraction form
    21,175.29/31,763.22 = 14,599.71/x
  3. Step 3: Cross multiply
    21,175.29x = 31,763.22 × 14,599.71
  4. Step 4: Simplify right side
    21,175.29x = 463,733,800.67
  5. Step 5: Solve for x
    x = 463,733,800.67/21,175.29
  6. Step 6: Final answer
    x = 21,899.76

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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.