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Finding the Fourth Proportional to 19,834.39, 29,712.70 and 8,714.71

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Solution

The fourth proportional to 19,834.39, 29,712.70 and 8,714.71 is: 13,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.39 : 29,712.70 = 8,714.71 : x
  2. Step 2: Convert to fraction form
    19,834.39/29,712.70 = 8,714.71/x
  3. Step 3: Cross multiply
    19,834.39x = 29,712.70 × 8,714.71
  4. Step 4: Simplify right side
    19,834.39x = 258,937,563.82
  5. Step 5: Solve for x
    x = 258,937,563.82/19,834.39
  6. Step 6: Final answer
    x = 13,054.98

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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.