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Finding the Fourth Proportional to 30,714.96, 46,063.92 and 13,180.89

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Solution

The fourth proportional to 30,714.96, 46,063.92 and 13,180.89 is: 19,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.96 : 46,063.92 = 13,180.89 : x
  2. Step 2: Convert to fraction form
    30,714.96/46,063.92 = 13,180.89/x
  3. Step 3: Cross multiply
    30,714.96x = 46,063.92 × 13,180.89
  4. Step 4: Simplify right side
    30,714.96x = 607,163,462.49
  5. Step 5: Solve for x
    x = 607,163,462.49/30,714.96
  6. Step 6: Final answer
    x = 19,767.68

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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.