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Finding the Fourth Proportional to 12,834.84, 17,714.40 and 7,460.52

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Solution

The fourth proportional to 12,834.84, 17,714.40 and 7,460.52 is: 10,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.84 : 17,714.40 = 7,460.52 : x
  2. Step 2: Convert to fraction form
    12,834.84/17,714.40 = 7,460.52/x
  3. Step 3: Cross multiply
    12,834.84x = 17,714.40 × 7,460.52
  4. Step 4: Simplify right side
    12,834.84x = 132,158,635.49
  5. Step 5: Solve for x
    x = 132,158,635.49/12,834.84
  6. Step 6: Final answer
    x = 10,296.87

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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.