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Finding the Fourth Proportional to 34,506.40, 51,716.28 and 14,761.72

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Solution

The fourth proportional to 34,506.40, 51,716.28 and 14,761.72 is: 22,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.40 : 51,716.28 = 14,761.72 : x
  2. Step 2: Convert to fraction form
    34,506.40/51,716.28 = 14,761.72/x
  3. Step 3: Cross multiply
    34,506.40x = 51,716.28 × 14,761.72
  4. Step 4: Simplify right side
    34,506.40x = 763,421,244.80
  5. Step 5: Solve for x
    x = 763,421,244.80/34,506.40
  6. Step 6: Final answer
    x = 22,124.05

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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.